Resolver (0.01)^5(0.1)^39/(0.0001)^6(0.001)^10

$$\frac { ( 0.01 ) ^ { 5 } ( 0.1 ) ^ { 39 } } { ( 0.0001 ) ^ { 6 } ( 0.001 ) ^ { 10 } }$$

Calcular

$$100000$$

Pasos da solución

Calcula 0.01 á potencia de 5 e obtén 0.0000000001.

$$\frac{0.0000000001\times 0.1^{39}}{0.0001^{6}\times 0.001^{10}}$$

Calcula 0.1 á potencia de 39 e obtén 0.000000000000000000000000000000000000001.

$$\frac{0.0000000001\times 0.000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Multiplica 0.0000000001 e 0.000000000000000000000000000000000000001 para obter 0.0000000000000000000000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Calcula 0.0001 á potencia de 6 e obtén 0.000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.001^{10}}$$

Calcula 0.001 á potencia de 10 e obtén 0.000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.000000000000000000000000000001}$$

Multiplica 0.000000000000000000000001 e 0.000000000000000000000000000001 para obter 0.000000000000000000000000000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}$$

Expande \frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001} multiplicando o numerador e o denominador por 1000000000000000000000000000000000000000000000000000000. Calquera cifra entre un é igual á cifra.

$$100000$$

Factorizar

$$2^{5}\times 5^{5}$$