Ratkaise (1+0.01/12)^126=(1+0.011)=

$$( 1 + \frac { 0.01 } { 12 } ) ^ { 126 } = ( 1 + 0.011 ) =$$

Tarkista

Ratkaisun vaiheet

Lavenna \frac{0,01}{12} kertomalla sekä osoittaja että nimittäjä luvulla 100.

$$\left(1+\frac{1}{1200}\right)^{126}=1+0,011$$

Selvitä \frac{1201}{1200} laskemalla yhteen 1 ja \frac{1}{1200}.

$$\left(\frac{1201}{1200}\right)^{126}=1+0,011$$

Laske \frac{1201}{1200} potenssiin 126, jolloin ratkaisuksi tulee \frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=1+0,011$$

Selvitä 1,011 laskemalla yhteen 1 ja 0,011.

$$\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=1,011$$

Muunna desimaaliluku 1,011 murtoluvuksi \frac{1011}{1000}.

$$\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=\frac{1011}{1000}$$

Lukujen 9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 ja 1000 pienin yhteinen jaettava on 9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000. Muunna \frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} ja \frac{1011}{1000} murtoluvuiksi, joiden nimittäjä on 9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$\frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=\frac{9584912610431836637059049017920197501272613659735298133396363337296693326018870984504490580570378041302133421573379817730604622867043713024000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Vertaa kohteita \frac{10529771156485605204454987443983755827094926014785138522386129201966068224911410103978049397393082065204894507435691100955003394536258872810014923796652153727656057764244707352037352608683516197168425099877617302442372802662153873113474888875849355699449269935542994056666713639313087533466583244558710429423150459300714556794079043540060679147594413381375614713755979199701532075340151201}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} ja \frac{9584912610431836637059049017920197501272613659735298133396363337296693326018870984504490580570378041302133421573379817730604622867043713024000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{9480625727430105476814093984095150842010498179757960567157629413745492904074056364495045084639345243622288250814421184698916540916957184000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\text{false}$$