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

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

Evaluate

$$2$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

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

Calculate 8 to the power of 23 and get 590295810358705651712.

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

Multiply 64 and 590295810358705651712 to get 37778931862957161709568.

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

Calculate \sqrt[25]{37778931862957161709568} and get 8.

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

Calculate \sqrt[3]{8} and get 2.

$$2$$

Factor

$$2$$