Resolver (10^-32)^2/2*10^-5

$$\frac { ( 10 ^ { - 32 } ) ^ { 2 } } { 2 \times 10 ^ { - 5 } }$$

Calcular

$$\frac{1}{200000000000000000000000000000000000000000000000000000000000}=5 \cdot 10^{-60}$$

Pasos da solución

Para elevar unha potencia a outra potencia, multiplica os expoñentes. Multiplica -32 e 2 para obter -64.

$$\frac{10^{-64}}{2\times 10^{-5}}$$

Para dividir potencias da mesma base, resta o expoñente do numerador ao expoñente do denominador.

$$\frac{1}{2\times 10^{59}}$$

Calcula 10 á potencia de 59 e obtén 100000000000000000000000000000000000000000000000000000000000.

$$\frac{1}{2\times 100000000000000000000000000000000000000000000000000000000000}$$

Multiplica 2 e 100000000000000000000000000000000000000000000000000000000000 para obter 200000000000000000000000000000000000000000000000000000000000.

$$\frac{1}{200000000000000000000000000000000000000000000000000000000000}$$

Factorizar

$$\frac{1}{2 ^ {60} \cdot 5 ^ {59}} = 5 \times 10^{-60}$$