Resolver 0.01^50.1^34/0.0001^60.001^10

$$\frac{ { 0.01 }^{ 5 } { 0.1 }^{ 34 } }{ { 0.0001 }^{ 6 } { 0.001 }^{ 10 } }$$

Calcular

$$10000000000$$

Pasos da solución

Calcula 0.01 á potencia de 5 e obtén 0.0000000001.

$$\frac{0.0000000001\times 0.1^{34}}{0.0001^{6}\times 0.001^{10}}$$

Calcula 0.1 á potencia de 34 e obtén 0.0000000000000000000000000000000001.

$$\frac{0.0000000001\times 0.0000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Multiplica 0.0000000001 e 0.0000000000000000000000000000000001 para obter 0.00000000000000000000000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Calcula 0.0001 á potencia de 6 e obtén 0.000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.001^{10}}$$

Calcula 0.001 á potencia de 10 e obtén 0.000000000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.000000000000000000000000000001}$$

Multiplica 0.000000000000000000000001 e 0.000000000000000000000000000001 para obter 0.000000000000000000000000000000000000000000000000000001.

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}$$

Expande \frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001} multiplicando o numerador e o denominador por 1000000000000000000000000000000000000000000000000000000. Calquera cifra entre un é igual á cifra.

$$10000000000$$

Factorizar

$$2^{10}\times 5^{10}$$