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

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

Avaliar

$$2$$

Passos Para a Resolução

Calcule 4 elevado a 3 e obtenha 64.

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

Calcule 8 elevado a 23 e obtenha 590295810358705651712.

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

Multiplique 64 e 590295810358705651712 para obter 37778931862957161709568.

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

Calcule \sqrt[25]{37778931862957161709568} e obtenha 8.

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

Calcule \sqrt[3]{8} e obtenha 2.

$$2$$

Fatorizar

$$2$$