Løs 491*10^19*16*10^-19/696

$$491 \cdot 10 ^ { 19 } \cdot \frac { 16 \cdot 10 ^ { - 19 } } { 696 }$$

Evaluer

$$\frac{982}{87}\approx 11,287356322$$

Løsningstrinn

Regn ut 10 opphøyd i 19 og få 10000000000000000000.

$$491\times 10000000000000000000\times \frac{16\times 10^{-19}}{696}$$

Multipliser 491 med 10000000000000000000 for å få 4910000000000000000000.

$$4910000000000000000000\times \frac{16\times 10^{-19}}{696}$$

Regn ut 10 opphøyd i -19 og få \frac{1}{10000000000000000000}.

$$4910000000000000000000\times \frac{16\times \frac{1}{10000000000000000000}}{696}$$

Multipliser 16 med \frac{1}{10000000000000000000} for å få \frac{1}{625000000000000000}.

$$4910000000000000000000\times \frac{\frac{1}{625000000000000000}}{696}$$

Uttrykk \frac{\frac{1}{625000000000000000}}{696} som en enkelt brøk.

$$4910000000000000000000\times \frac{1}{625000000000000000\times 696}$$

Multipliser 625000000000000000 med 696 for å få 435000000000000000000.

$$4910000000000000000000\times \frac{1}{435000000000000000000}$$

Multipliser 4910000000000000000000 med \frac{1}{435000000000000000000} for å få \frac{982}{87}.

$$\frac{982}{87}$$

Faktoriser

$$\frac{2 \cdot 491}{3 \cdot 29} = 11\frac{25}{87} = 11,28735632183908$$