Solve sqrt[3]{2^65^63^3}

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

Evaluate

$$300$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$\sqrt[3]{64\times 5^{6}\times 3^{3}}$$

Calculate 5 to the power of 6 and get 15625.

$$\sqrt[3]{64\times 15625\times 3^{3}}$$

Multiply 64 and 15625 to get 1000000.

$$\sqrt[3]{1000000\times 3^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\sqrt[3]{1000000\times 27}$$

Multiply 1000000 and 27 to get 27000000.

$$\sqrt[3]{27000000}$$

Calculate \sqrt[3]{27000000} and get 300.

$$300$$

Factor

$$2^{2}\times 3\times 5^{2}$$