Solve 25!/(25-24)!24!*0.88^24*0.12^25*24

$$\frac { 25 ! } { ( 25 - 24 ) ! 24 ! } \cdot 0.88 ^ { 24 } \cdot 0.12 ^ { 25 \cdot 24 }$$

Evaluate

$$0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003752077228734632373180974464091370157924717294344278355320076637939973549769584580236740555340333387672744543460169147549912974429984151741255909749135282496748555572280673945593569628367251054064744534823757376618966824126948940109798075176441533105023077301809547043262706591575157802983158295475559962443220513767307965499872672356181966314047306061068374668543708268903587461508506378650077520410871502816880174737651089145629638004045856850044742633129873753894172725861217145672466259887157609405016748527061074470514592730031755585804629808169758496732339819844294112108158183503261408462628223235930715764655737917360245257738230273137396746142391399481175951249385727667565721586499584$$

Solution Steps

The factorial of 25 is 15511210043330985984000000.

$$\frac{15511210043330985984000000}{\left(25-24\right)!\times 24!}\times 0.88^{24}\times 0.12^{25\times 24}$$

Subtract 24 from 25 to get 1.

$$\frac{15511210043330985984000000}{1!\times 24!}\times 0.88^{24}\times 0.12^{25\times 24}$$

The factorial of 1 is 1.

$$\frac{15511210043330985984000000}{1\times 24!}\times 0.88^{24}\times 0.12^{25\times 24}$$

The factorial of 24 is 620448401733239439360000.

$$\frac{15511210043330985984000000}{1\times 620448401733239439360000}\times 0.88^{24}\times 0.12^{25\times 24}$$

Multiply 1 and 620448401733239439360000 to get 620448401733239439360000.

$$\frac{15511210043330985984000000}{620448401733239439360000}\times 0.88^{24}\times 0.12^{25\times 24}$$

Divide 15511210043330985984000000 by 620448401733239439360000 to get 25.

$$25\times 0.88^{24}\times 0.12^{25\times 24}$$

Calculate 0.88 to the power of 24 and get 0.046514047453459807791859709226757301461986574336.

$$25\times 0.046514047453459807791859709226757301461986574336\times 0.12^{25\times 24}$$

Multiply 25 and 0.046514047453459807791859709226757301461986574336 to get 1.1628511863364951947964927306689325365496643584.

$$1.1628511863364951947964927306689325365496643584\times 0.12^{25\times 24}$$

Multiply 25 and 24 to get 600.

$$1.1628511863364951947964927306689325365496643584\times 0.12^{600}$$

Calculate 0.12 to the power of 600 and get 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000322661856720924454547868470656012945135224130236321173063900723505723446350311380879438753963319178887342263142372510221169545783411631343943947716623897430818724310057754748166247261315655266907498247532094892506393850867411208947228325342028797648984616193238532002741237055475034825546667242284980861439940812039413459390523982153592471271889787268352404280507098832666629908719477648075861085544640359147478253031378926309650943388931133068944706960978008959075543439979500736379686169858291824552940347776782336682177561878244391982109196408581125117062486613271051415031777716843886142642887016123396106464146385297477735243374541976817893376.

$$1.1628511863364951947964927306689325365496643584\times 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000322661856720924454547868470656012945135224130236321173063900723505723446350311380879438753963319178887342263142372510221169545783411631343943947716623897430818724310057754748166247261315655266907498247532094892506393850867411208947228325342028797648984616193238532002741237055475034825546667242284980861439940812039413459390523982153592471271889787268352404280507098832666629908719477648075861085544640359147478253031378926309650943388931133068944706960978008959075543439979500736379686169858291824552940347776782336682177561878244391982109196408581125117062486613271051415031777716843886142642887016123396106464146385297477735243374541976817893376$$

Multiply 1.1628511863364951947964927306689325365496643584 and 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000322661856720924454547868470656012945135224130236321173063900723505723446350311380879438753963319178887342263142372510221169545783411631343943947716623897430818724310057754748166247261315655266907498247532094892506393850867411208947228325342028797648984616193238532002741237055475034825546667242284980861439940812039413459390523982153592471271889787268352404280507098832666629908719477648075861085544640359147478253031378926309650943388931133068944706960978008959075543439979500736379686169858291824552940347776782336682177561878244391982109196408581125117062486613271051415031777716843886142642887016123396106464146385297477735243374541976817893376 to get 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003752077228734632373180974464091370157924717294344278355320076637939973549769584580236740555340333387672744543460169147549912974429984151741255909749135282496748555572280673945593569628367251054064744534823757376618966824126948940109798075176441533105023077301809547043262706591575157802983158295475559962443220513767307965499872672356181966314047306061068374668543708268903587461508506378650077520410871502816880174737651089145629638004045856850044742633129873753894172725861217145672466259887157609405016748527061074470514592730031755585804629808169758496732339819844294112108158183503261408462628223235930715764655737917360245257738230273137396746142391399481175951249385727667565721586499584.

$$0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003752077228734632373180974464091370157924717294344278355320076637939973549769584580236740555340333387672744543460169147549912974429984151741255909749135282496748555572280673945593569628367251054064744534823757376618966824126948940109798075176441533105023077301809547043262706591575157802983158295475559962443220513767307965499872672356181966314047306061068374668543708268903587461508506378650077520410871502816880174737651089145629638004045856850044742633129873753894172725861217145672466259887157609405016748527061074470514592730031755585804629808169758496732339819844294112108158183503261408462628223235930715764655737917360245257738230273137396746142391399481175951249385727667565721586499584$$

Factor

$$\frac{2 ^ {24} \cdot 3 ^ {600} \cdot 11 ^ {24}}{5 ^ {1246}} = NaN$$