Resolver 5(17-10^-8)/2*10^-4

$$\frac { 5 ( 17 - 10 ^ { - 8 } ) } { 2 \times 10 ^ { - 4 } }$$

Calcular

$$\frac{1699999999}{4000}=424999.99975$$

Pasos da solución

Calcula 10 á potencia de -8 e obtén \frac{1}{100000000}.

$$\frac{5\left(17-\frac{1}{100000000}\right)}{2\times 10^{-4}}$$

Resta \frac{1}{100000000} de 17 para obter \frac{1699999999}{100000000}.

$$\frac{5\times \frac{1699999999}{100000000}}{2\times 10^{-4}}$$

Multiplica 5 e \frac{1699999999}{100000000} para obter \frac{1699999999}{20000000}.

$$\frac{\frac{1699999999}{20000000}}{2\times 10^{-4}}$$

Calcula 10 á potencia de -4 e obtén \frac{1}{10000}.

$$\frac{\frac{1699999999}{20000000}}{2\times \frac{1}{10000}}$$

Multiplica 2 e \frac{1}{10000} para obter \frac{1}{5000}.

$$\frac{\frac{1699999999}{20000000}}{\frac{1}{5000}}$$

Divide \frac{1699999999}{20000000} entre \frac{1}{5000} mediante a multiplicación de \frac{1699999999}{20000000} polo recíproco de \frac{1}{5000}.

$$\frac{1699999999}{20000000}\times 5000$$

Multiplica \frac{1699999999}{20000000} e 5000 para obter \frac{1699999999}{4000}.

$$\frac{1699999999}{4000}$$

Factorizar

$$\frac{2957 \cdot 574907}{2 ^ {5} \cdot 5 ^ {3}} = 424999\frac{3999}{4000} = 424999.99975$$