Resolver 4^-1+32^-3:5/8-04

$$4 ^ { - 1 } + 32 ^ { - 3 } : \frac { 5 } { 8 } - 04$$

Calcular

$$\frac{5121}{20480}\approx 0.250048828$$

Pasos da solución

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

$$\frac{1}{4}+\frac{32^{-3}}{\frac{5}{8}}-0\times 4$$

Calcula 32 á potencia de -3 e obtén \frac{1}{32768}.

$$\frac{1}{4}+\frac{\frac{1}{32768}}{\frac{5}{8}}-0\times 4$$

Divide \frac{1}{32768} entre \frac{5}{8} mediante a multiplicación de \frac{1}{32768} polo recíproco de \frac{5}{8}.

$$\frac{1}{4}+\frac{1}{32768}\times \frac{8}{5}-0\times 4$$

Multiplica \frac{1}{32768} e \frac{8}{5} para obter \frac{1}{20480}.

$$\frac{1}{4}+\frac{1}{20480}-0\times 4$$

Suma \frac{1}{4} e \frac{1}{20480} para obter \frac{5121}{20480}.

$$\frac{5121}{20480}-0\times 4$$

Multiplica 0 e 4 para obter 0.

$$\frac{5121}{20480}-0$$

Resta 0 de \frac{5121}{20480} para obter \frac{5121}{20480}.

$$\frac{5121}{20480}$$

Factorizar

$$\frac{3 ^ {2} \cdot 569}{2 ^ {12} \cdot 5} = 0.250048828125$$