Los 166*10^-24/91*90^-28 op

$$\frac { 166 \times 10 ^ { - 24 } } { 91 \times 90 ^ { - 28 } }$$

Evalueren

$$\frac{868757070825418491774429124860000}{91}\approx 9,546780998 \cdot 10^{30}$$

Oplossingsstappen

Bereken 10 tot de macht van -24 en krijg \frac{1}{1000000000000000000000000}.

$$\frac{166\times \frac{1}{1000000000000000000000000}}{91\times 90^{-28}}$$

Vermenigvuldig 166 en \frac{1}{1000000000000000000000000} om \frac{83}{500000000000000000000000} te krijgen.

$$\frac{\frac{83}{500000000000000000000000}}{91\times 90^{-28}}$$

Bereken 90 tot de macht van -28 en krijg \frac{1}{5233476330273605372135115210000000000000000000000000000}.

$$\frac{\frac{83}{500000000000000000000000}}{91\times \frac{1}{5233476330273605372135115210000000000000000000000000000}}$$

Vermenigvuldig 91 en \frac{1}{5233476330273605372135115210000000000000000000000000000} om \frac{91}{5233476330273605372135115210000000000000000000000000000} te krijgen.

$$\frac{\frac{83}{500000000000000000000000}}{\frac{91}{5233476330273605372135115210000000000000000000000000000}}$$

Deel \frac{83}{500000000000000000000000} door \frac{91}{5233476330273605372135115210000000000000000000000000000} door \frac{83}{500000000000000000000000} te vermenigvuldigen met de omgekeerde waarde van \frac{91}{5233476330273605372135115210000000000000000000000000000}.

$$\frac{83}{500000000000000000000000}\times \frac{5233476330273605372135115210000000000000000000000000000}{91}$$

Vermenigvuldig \frac{83}{500000000000000000000000} en \frac{5233476330273605372135115210000000000000000000000000000}{91} om \frac{868757070825418491774429124860000}{91} te krijgen.

$$\frac{868757070825418491774429124860000}{91}$$

Factoriseren

$$\frac{2 ^ {5} \cdot 3 ^ {56} \cdot 5 ^ {4} \cdot 83}{7 \cdot 13} = 9,546780998081523 \times 10^{30}\frac{71}{91} = 9,546780998081523 \times 10^{30}$$