Resolver sqrt[3]{sqrt[25]{4^3*8^23}}

$$\sqrt[ 3 ] { \sqrt[ 25 ] { 4 ^ { 3 } \cdot 8 ^ { 23 } } }$$

Calcular

$$2$$

Pasos da solución

Calcula 4 á potencia de 3 e obtén 64.

$$\sqrt[3]{\sqrt[25]{64\times 8^{23}}}$$

Calcula 8 á potencia de 23 e obtén 590295810358705651712.

$$\sqrt[3]{\sqrt[25]{64\times 590295810358705651712}}$$

Multiplica 64 e 590295810358705651712 para obter 37778931862957161709568.

$$\sqrt[3]{\sqrt[25]{37778931862957161709568}}$$

Calcular \sqrt[25]{37778931862957161709568} e obter 8.

$$\sqrt[3]{8}$$

Calcular \sqrt[3]{8} e obter 2.

$$2$$

Factorizar

$$2$$