Solve 25^1000*10^1001/2^999*5^3002

$$\frac{ { 25 }^{ 1000 } \times { 10 }^{ 1001 } }{ { 2 }^{ 999 } \times { 5 }^{ 3002 } }$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Calculate 25 to the power of 1000 and get 870980981621721667557619549477887229585910374270538861664349322949828885340626741378473875079978788106556408717745512063620430237198833632508279082452303686110151064231029731844770912338990942384805856374197234719063103709717102341338066824141470072823629277351483947365609114807773659084382927185815811948911134617256915670416545076575696978688296466624839314010926757566865640829864607020478209736583890745367167211108478699317026667107461706636187594713500639193851672095206666878678364305056913162755577282544319220234472829986232534712298259962687261646269421115058998416069587800908920579349669236736913827347448298397172895803277667115579753494052712115087421629797155964976280104903975345046567785695453426825434185295645428424293462112053395137460028538491546496267026898886434214356481725450758426045441108355790758165263762707637097797493609152464857349232178547471268908595592165403420696716220544097087042534305174783814271995118445411602119001993267698963158366035219345898069254813486663593971465352723605221893603623162344963023226799889023333175534301945815013863127729744770005798281812992166753266441172395445809353443716569909308297494243007169052124052051599106448566000604029261487881100463610822941645972134518552644715890683789506575861017698385432029210038002794322539542020752022213866641380472576754542153919782083275936648524549223149282539679916226305067539215087890625.

$$\frac{870980981621721667557619549477887229585910374270538861664349322949828885340626741378473875079978788106556408717745512063620430237198833632508279082452303686110151064231029731844770912338990942384805856374197234719063103709717102341338066824141470072823629277351483947365609114807773659084382927185815811948911134617256915670416545076575696978688296466624839314010926757566865640829864607020478209736583890745367167211108478699317026667107461706636187594713500639193851672095206666878678364305056913162755577282544319220234472829986232534712298259962687261646269421115058998416069587800908920579349669236736913827347448298397172895803277667115579753494052712115087421629797155964976280104903975345046567785695453426825434185295645428424293462112053395137460028538491546496267026898886434214356481725450758426045441108355790758165263762707637097797493609152464857349232178547471268908595592165403420696716220544097087042534305174783814271995118445411602119001993267698963158366035219345898069254813486663593971465352723605221893603623162344963023226799889023333175534301945815013863127729744770005798281812992166753266441172395445809353443716569909308297494243007169052124052051599106448566000604029261487881100463610822941645972134518552644715890683789506575861017698385432029210038002794322539542020752022213866641380472576754542153919782083275936648524549223149282539679916226305067539215087890625\times 10^{1001}}{2^{999}\times 5^{3002}}$$

Calculate 10 to the power of 1001 and get 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{870980981621721667557619549477887229585910374270538861664349322949828885340626741378473875079978788106556408717745512063620430237198833632508279082452303686110151064231029731844770912338990942384805856374197234719063103709717102341338066824141470072823629277351483947365609114807773659084382927185815811948911134617256915670416545076575696978688296466624839314010926757566865640829864607020478209736583890745367167211108478699317026667107461706636187594713500639193851672095206666878678364305056913162755577282544319220234472829986232534712298259962687261646269421115058998416069587800908920579349669236736913827347448298397172895803277667115579753494052712115087421629797155964976280104903975345046567785695453426825434185295645428424293462112053395137460028538491546496267026898886434214356481725450758426045441108355790758165263762707637097797493609152464857349232178547471268908595592165403420696716220544097087042534305174783814271995118445411602119001993267698963158366035219345898069254813486663593971465352723605221893603623162344963023226799889023333175534301945815013863127729744770005798281812992166753266441172395445809353443716569909308297494243007169052124052051599106448566000604029261487881100463610822941645972134518552644715890683789506575861017698385432029210038002794322539542020752022213866641380472576754542153919782083275936648524549223149282539679916226305067539215087890625\times 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2^{999}\times 5^{3002}}$$

Multiply 870980981621721667557619549477887229585910374270538861664349322949828885340626741378473875079978788106556408717745512063620430237198833632508279082452303686110151064231029731844770912338990942384805856374197234719063103709717102341338066824141470072823629277351483947365609114807773659084382927185815811948911134617256915670416545076575696978688296466624839314010926757566865640829864607020478209736583890745367167211108478699317026667107461706636187594713500639193851672095206666878678364305056913162755577282544319220234472829986232534712298259962687261646269421115058998416069587800908920579349669236736913827347448298397172895803277667115579753494052712115087421629797155964976280104903975345046567785695453426825434185295645428424293462112053395137460028538491546496267026898886434214356481725450758426045441108355790758165263762707637097797493609152464857349232178547471268908595592165403420696716220544097087042534305174783814271995118445411602119001993267698963158366035219345898069254813486663593971465352723605221893603623162344963023226799889023333175534301945815013863127729744770005798281812992166753266441172395445809353443716569909308297494243007169052124052051599106448566000604029261487881100463610822941645972134518552644715890683789506575861017698385432029210038002794322539542020752022213866641380472576754542153919782083275936648524549223149282539679916226305067539215087890625 and 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 to get 87098098162172166755761954947788722958591037427053886166434932294982888534062674137847387507997878810655640871774551206362043023719883363250827908245230368611015106423102973184477091233899094238480585637419723471906310370971710234133806682414147007282362927735148394736560911480777365908438292718581581194891113461725691567041654507657569697868829646662483931401092675756686564082986460702047820973658389074536716721110847869931702666710746170663618759471350063919385167209520666687867836430505691316275557728254431922023447282998623253471229825996268726164626942111505899841606958780090892057934966923673691382734744829839717289580327766711557975349405271211508742162979715596497628010490397534504656778569545342682543418529564542842429346211205339513746002853849154649626702689888643421435648172545075842604544110835579075816526376270763709779749360915246485734923217854747126890859559216540342069671622054409708704253430517478381427199511844541160211900199326769896315836603521934589806925481348666359397146535272360522189360362316234496302322679988902333317553430194581501386312772974477000579828181299216675326644117239544580935344371656990930829749424300716905212405205159910644856600060402926148788110046361082294164597213451855264471589068378950657586101769838543202921003800279432253954202075202221386664138047257675454215391978208327593664852454922314928253967991622630506753921508789062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{87098098162172166755761954947788722958591037427053886166434932294982888534062674137847387507997878810655640871774551206362043023719883363250827908245230368611015106423102973184477091233899094238480585637419723471906310370971710234133806682414147007282362927735148394736560911480777365908438292718581581194891113461725691567041654507657569697868829646662483931401092675756686564082986460702047820973658389074536716721110847869931702666710746170663618759471350063919385167209520666687867836430505691316275557728254431922023447282998623253471229825996268726164626942111505899841606958780090892057934966923673691382734744829839717289580327766711557975349405271211508742162979715596497628010490397534504656778569545342682543418529564542842429346211205339513746002853849154649626702689888643421435648172545075842604544110835579075816526376270763709779749360915246485734923217854747126890859559216540342069671622054409708704253430517478381427199511844541160211900199326769896315836603521934589806925481348666359397146535272360522189360362316234496302322679988902333317553430194581501386312772974477000579828181299216675326644117239544580935344371656990930829749424300716905212405205159910644856600060402926148788110046361082294164597213451855264471589068378950657586101769838543202921003800279432253954202075202221386664138047257675454215391978208327593664852454922314928253967991622630506753921508789062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2^{999}\times 5^{3002}}$$

Calculate 2 to the power of 999 and get 5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688.

$$\frac{87098098162172166755761954947788722958591037427053886166434932294982888534062674137847387507997878810655640871774551206362043023719883363250827908245230368611015106423102973184477091233899094238480585637419723471906310370971710234133806682414147007282362927735148394736560911480777365908438292718581581194891113461725691567041654507657569697868829646662483931401092675756686564082986460702047820973658389074536716721110847869931702666710746170663618759471350063919385167209520666687867836430505691316275557728254431922023447282998623253471229825996268726164626942111505899841606958780090892057934966923673691382734744829839717289580327766711557975349405271211508742162979715596497628010490397534504656778569545342682543418529564542842429346211205339513746002853849154649626702689888643421435648172545075842604544110835579075816526376270763709779749360915246485734923217854747126890859559216540342069671622054409708704253430517478381427199511844541160211900199326769896315836603521934589806925481348666359397146535272360522189360362316234496302322679988902333317553430194581501386312772974477000579828181299216675326644117239544580935344371656990930829749424300716905212405205159910644856600060402926148788110046361082294164597213451855264471589068378950657586101769838543202921003800279432253954202075202221386664138047257675454215391978208327593664852454922314928253967991622630506753921508789062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688\times 5^{3002}}$$

Calculate 5 to the power of 3002 and get 20321371563894338601179695143671278303831622717374195822652110941886254523462312331047959321302939857056657393871691124556379634433513133792752060140013560688531836840731983101265320680635366324294711679576289149994325492106246404898893282521178401559831363285280818482730835749709623302024678479479725140057672689858298790043467527792866002565393417552263257978102049153933197787472654168685469677841364375520697129130790160311972889592326099991225650264590800485214033810353012468267468131082030599051137765439265333613766944137451440888453648119505217853436869909313610703620882851600253706106637089138242470190608505445312528565282012730358026968883718169526052121189593673446742094434507797935084138943471333783276585720623414295953309335469861089661443144748404392277505059514718521067898116724820909047096214802700330455170625835644245519294893377537042279030731045959257361203391910350890437149283110236060879658279865070000098151627492365482802858012590845932097650437715943824179486095714403411262989946399060957890968580815937876639787958129825287231064070472802133652946313004643689362629668836657055526242975609138483993042455466217914217420645475502987108214683288801330765009281428065874188323645946292186552514660415386611221487314094270696751549990480616526799555475579522403232289996273716640816802328621180833382394046648017969085533620968721533417451974073362700519198082107603043668470200948553394374118652877386571264517898942747123777349525667351007258476119019032202983727008630734939619528050845070298884857982255371970890803568184805153106428319654443441040512615336976946054181396793028336278844603140524018830575298066973715426130715463741193653974802033182271154577346380565329625055324690649325096697838327324091151650828620742344706401521812516901709132368501016974637369187820550810842473193321021521196189106268625641049278992776591867809762930520351921383304378840117611550148059853643060076214379181749713298367007623687461672276026075821429674555066952050957354326086728825853023034510600044419771493036428847250963073225484001316232252065674401819705963134765625.

$$\frac{87098098162172166755761954947788722958591037427053886166434932294982888534062674137847387507997878810655640871774551206362043023719883363250827908245230368611015106423102973184477091233899094238480585637419723471906310370971710234133806682414147007282362927735148394736560911480777365908438292718581581194891113461725691567041654507657569697868829646662483931401092675756686564082986460702047820973658389074536716721110847869931702666710746170663618759471350063919385167209520666687867836430505691316275557728254431922023447282998623253471229825996268726164626942111505899841606958780090892057934966923673691382734744829839717289580327766711557975349405271211508742162979715596497628010490397534504656778569545342682543418529564542842429346211205339513746002853849154649626702689888643421435648172545075842604544110835579075816526376270763709779749360915246485734923217854747126890859559216540342069671622054409708704253430517478381427199511844541160211900199326769896315836603521934589806925481348666359397146535272360522189360362316234496302322679988902333317553430194581501386312772974477000579828181299216675326644117239544580935344371656990930829749424300716905212405205159910644856600060402926148788110046361082294164597213451855264471589068378950657586101769838543202921003800279432253954202075202221386664138047257675454215391978208327593664852454922314928253967991622630506753921508789062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688\times 20321371563894338601179695143671278303831622717374195822652110941886254523462312331047959321302939857056657393871691124556379634433513133792752060140013560688531836840731983101265320680635366324294711679576289149994325492106246404898893282521178401559831363285280818482730835749709623302024678479479725140057672689858298790043467527792866002565393417552263257978102049153933197787472654168685469677841364375520697129130790160311972889592326099991225650264590800485214033810353012468267468131082030599051137765439265333613766944137451440888453648119505217853436869909313610703620882851600253706106637089138242470190608505445312528565282012730358026968883718169526052121189593673446742094434507797935084138943471333783276585720623414295953309335469861089661443144748404392277505059514718521067898116724820909047096214802700330455170625835644245519294893377537042279030731045959257361203391910350890437149283110236060879658279865070000098151627492365482802858012590845932097650437715943824179486095714403411262989946399060957890968580815937876639787958129825287231064070472802133652946313004643689362629668836657055526242975609138483993042455466217914217420645475502987108214683288801330765009281428065874188323645946292186552514660415386611221487314094270696751549990480616526799555475579522403232289996273716640816802328621180833382394046648017969085533620968721533417451974073362700519198082107603043668470200948553394374118652877386571264517898942747123777349525667351007258476119019032202983727008630734939619528050845070298884857982255371970890803568184805153106428319654443441040512615336976946054181396793028336278844603140524018830575298066973715426130715463741193653974802033182271154577346380565329625055324690649325096697838327324091151650828620742344706401521812516901709132368501016974637369187820550810842473193321021521196189106268625641049278992776591867809762930520351921383304378840117611550148059853643060076214379181749713298367007623687461672276026075821429674555066952050957354326086728825853023034510600044419771493036428847250963073225484001316232252065674401819705963134765625}$$

Multiply 5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 and 20321371563894338601179695143671278303831622717374195822652110941886254523462312331047959321302939857056657393871691124556379634433513133792752060140013560688531836840731983101265320680635366324294711679576289149994325492106246404898893282521178401559831363285280818482730835749709623302024678479479725140057672689858298790043467527792866002565393417552263257978102049153933197787472654168685469677841364375520697129130790160311972889592326099991225650264590800485214033810353012468267468131082030599051137765439265333613766944137451440888453648119505217853436869909313610703620882851600253706106637089138242470190608505445312528565282012730358026968883718169526052121189593673446742094434507797935084138943471333783276585720623414295953309335469861089661443144748404392277505059514718521067898116724820909047096214802700330455170625835644245519294893377537042279030731045959257361203391910350890437149283110236060879658279865070000098151627492365482802858012590845932097650437715943824179486095714403411262989946399060957890968580815937876639787958129825287231064070472802133652946313004643689362629668836657055526242975609138483993042455466217914217420645475502987108214683288801330765009281428065874188323645946292186552514660415386611221487314094270696751549990480616526799555475579522403232289996273716640816802328621180833382394046648017969085533620968721533417451974073362700519198082107603043668470200948553394374118652877386571264517898942747123777349525667351007258476119019032202983727008630734939619528050845070298884857982255371970890803568184805153106428319654443441040512615336976946054181396793028336278844603140524018830575298066973715426130715463741193653974802033182271154577346380565329625055324690649325096697838327324091151650828620742344706401521812516901709132368501016974637369187820550810842473193321021521196189106268625641049278992776591867809762930520351921383304378840117611550148059853643060076214379181749713298367007623687461672276026075821429674555066952050957354326086728825853023034510600044419771493036428847250963073225484001316232252065674401819705963134765625 to get 108872622702715208444702443684735903698238796783817357708043665368728610667578342672309234384997348513319551089718189007952553779649854204063534885306537960763768883028878716480596364042373867798100732046774654339882887963714637792667258353017683759102953659668935493420701139350971707385547865898226976493613891827157114458802068134571962122336037058328104914251365844695858205103733075877559776217072986343170895901388559837414628333388432713329523449339187579899231459011900833359834795538132114145344447160318039902529309103748279066839037282495335907705783677639382374802008698475113615072418708654592114228418431037299646611975409708389447469186756589014385927703724644495622035013112996918130820973211931678353179273161955678553036682764006674392182503567311443312033378362360804276794560215681344803255680138544473844770657970338454637224686701144058107168654022318433908613574449020675427587089527568012135880316788146847976783999389805676450264875249158462370394795754402418237258656851685832949246433169090450652736700452895293120377903349986127916646941787743226876732890966218096250724785226624020844158305146549430726169180464571238663537186780375896131515506506449888306070750075503657685985137557951352867705746516814819080589486335473688321982627212298179003651254750349290317442752594002776733330172559072094317769239972760409492081065568652893660317459989528288133442401885986328125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{87098098162172166755761954947788722958591037427053886166434932294982888534062674137847387507997878810655640871774551206362043023719883363250827908245230368611015106423102973184477091233899094238480585637419723471906310370971710234133806682414147007282362927735148394736560911480777365908438292718581581194891113461725691567041654507657569697868829646662483931401092675756686564082986460702047820973658389074536716721110847869931702666710746170663618759471350063919385167209520666687867836430505691316275557728254431922023447282998623253471229825996268726164626942111505899841606958780090892057934966923673691382734744829839717289580327766711557975349405271211508742162979715596497628010490397534504656778569545342682543418529564542842429346211205339513746002853849154649626702689888643421435648172545075842604544110835579075816526376270763709779749360915246485734923217854747126890859559216540342069671622054409708704253430517478381427199511844541160211900199326769896315836603521934589806925481348666359397146535272360522189360362316234496302322679988902333317553430194581501386312772974477000579828181299216675326644117239544580935344371656990930829749424300716905212405205159910644856600060402926148788110046361082294164597213451855264471589068378950657586101769838543202921003800279432253954202075202221386664138047257675454215391978208327593664852454922314928253967991622630506753921508789062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{108872622702715208444702443684735903698238796783817357708043665368728610667578342672309234384997348513319551089718189007952553779649854204063534885306537960763768883028878716480596364042373867798100732046774654339882887963714637792667258353017683759102953659668935493420701139350971707385547865898226976493613891827157114458802068134571962122336037058328104914251365844695858205103733075877559776217072986343170895901388559837414628333388432713329523449339187579899231459011900833359834795538132114145344447160318039902529309103748279066839037282495335907705783677639382374802008698475113615072418708654592114228418431037299646611975409708389447469186756589014385927703724644495622035013112996918130820973211931678353179273161955678553036682764006674392182503567311443312033378362360804276794560215681344803255680138544473844770657970338454637224686701144058107168654022318433908613574449020675427587089527568012135880316788146847976783999389805676450264875249158462370394795754402418237258656851685832949246433169090450652736700452895293120377903349986127916646941787743226876732890966218096250724785226624020844158305146549430726169180464571238663537186780375896131515506506449888306070750075503657685985137557951352867705746516814819080589486335473688321982627212298179003651254750349290317442752594002776733330172559072094317769239972760409492081065568652893660317459989528288133442401885986328125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{87098098162172166755761954947788722958591037427053886166434932294982888534062674137847387507997878810655640871774551206362043023719883363250827908245230368611015106423102973184477091233899094238480585637419723471906310370971710234133806682414147007282362927735148394736560911480777365908438292718581581194891113461725691567041654507657569697868829646662483931401092675756686564082986460702047820973658389074536716721110847869931702666710746170663618759471350063919385167209520666687867836430505691316275557728254431922023447282998623253471229825996268726164626942111505899841606958780090892057934966923673691382734744829839717289580327766711557975349405271211508742162979715596497628010490397534504656778569545342682543418529564542842429346211205339513746002853849154649626702689888643421435648172545075842604544110835579075816526376270763709779749360915246485734923217854747126890859559216540342069671622054409708704253430517478381427199511844541160211900199326769896315836603521934589806925481348666359397146535272360522189360362316234496302322679988902333317553430194581501386312772974477000579828181299216675326644117239544580935344371656990930829749424300716905212405205159910644856600060402926148788110046361082294164597213451855264471589068378950657586101769838543202921003800279432253954202075202221386664138047257675454215391978208327593664852454922314928253967991622630506753921508789062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{108872622702715208444702443684735903698238796783817357708043665368728610667578342672309234384997348513319551089718189007952553779649854204063534885306537960763768883028878716480596364042373867798100732046774654339882887963714637792667258353017683759102953659668935493420701139350971707385547865898226976493613891827157114458802068134571962122336037058328104914251365844695858205103733075877559776217072986343170895901388559837414628333388432713329523449339187579899231459011900833359834795538132114145344447160318039902529309103748279066839037282495335907705783677639382374802008698475113615072418708654592114228418431037299646611975409708389447469186756589014385927703724644495622035013112996918130820973211931678353179273161955678553036682764006674392182503567311443312033378362360804276794560215681344803255680138544473844770657970338454637224686701144058107168654022318433908613574449020675427587089527568012135880316788146847976783999389805676450264875249158462370394795754402418237258656851685832949246433169090450652736700452895293120377903349986127916646941787743226876732890966218096250724785226624020844158305146549430726169180464571238663537186780375896131515506506449888306070750075503657685985137557951352867705746516814819080589486335473688321982627212298179003651254750349290317442752594002776733330172559072094317769239972760409492081065568652893660317459989528288133442401885986328125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 21774524540543041688940488736947180739647759356763471541608733073745722133515668534461846876999469702663910217943637801590510755929970840812706977061307592152753776605775743296119272808474773559620146409354930867976577592742927558533451670603536751820590731933787098684140227870194341477109573179645395298722778365431422891760413626914392424467207411665620982850273168939171641020746615175511955243414597268634179180277711967482925666677686542665904689867837515979846291802380166671966959107626422829068889432063607980505861820749655813367807456499067181541156735527876474960401739695022723014483741730918422845683686207459929322395081941677889493837351317802877185540744928899124407002622599383626164194642386335670635854632391135710607336552801334878436500713462288662406675672472160855358912043136268960651136027708894768954131594067690927444937340228811621433730804463686781722714889804135085517417905513602427176063357629369595356799877961135290052975049831692474078959150880483647451731370337166589849286633818090130547340090579058624075580669997225583329388357548645375346578193243619250144957045324804168831661029309886145233836092914247732707437356075179226303101301289977661214150015100731537197027511590270573541149303362963816117897267094737664396525442459635800730250950069858063488550518800555346666034511814418863553847994552081898416213113730578732063491997905657626688480377197265625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$