Løs 10^815/2%

$$10 ^ { 81 } \frac { 5 } { 2 } \%$$

Evaluer

$$25000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Løsningstrinn

Regn ut 10 opphøyd i 81 og få 1000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{\frac{5}{2}}{100}$$

Uttrykk \frac{\frac{5}{2}}{100} som en enkelt brøk.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{5}{2\times 100}$$

Multipliser 2 med 100 for å få 200.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{5}{200}$$

Forkort brøken \frac{5}{200} til minste felles nevner ved å dele teller og nevner på 5.

$$1000000000000000000000000000000000000000000000000000000000000000000000000000000000\times \frac{1}{40}$$

Multipliser 1000000000000000000000000000000000000000000000000000000000000000000000000000000000 med \frac{1}{40} for å få \frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000}{40}.

$$\frac{1000000000000000000000000000000000000000000000000000000000000000000000000000000000}{40}$$

Del 1000000000000000000000000000000000000000000000000000000000000000000000000000000000 på 40 for å få 25000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$25000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Faktoriser

$$2^{78}\times 5^{80}$$