Solve sqrt[3]{2^4*5^6*4^3}

$$\sqrt[ 3 ] { 2 ^ { 4 } \cdot 5 ^ { 6 } \cdot 4 ^ { 3 } }$$

Evaluate

$$200\sqrt[3]{2}\approx 251.984209979$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\sqrt[3]{16\times 5^{6}\times 4^{3}}$$

Calculate 5 to the power of 6 and get 15625.

$$\sqrt[3]{16\times 15625\times 4^{3}}$$

Multiply 16 and 15625 to get 250000.

$$\sqrt[3]{250000\times 4^{3}}$$

Calculate 4 to the power of 3 and get 64.

$$\sqrt[3]{250000\times 64}$$

Multiply 250000 and 64 to get 16000000.

$$\sqrt[3]{16000000}$$