Solve (frac{2sqrt[3]{8}}{sqrt{4}})^6

$$( \frac { 2 \sqrt[ 3 ] { 8 } } { \sqrt { 4 } } ) ^ { 6 }$$

Evaluate

$$64$$

Solution Steps

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

$$\left(\frac{2\times 2}{\sqrt{4}}\right)^{6}$$

Multiply 2 and 2 to get 4.

$$\left(\frac{4}{\sqrt{4}}\right)^{6}$$

Calculate the square root of 4 and get 2.

$$\left(\frac{4}{2}\right)^{6}$$

Divide 4 by 2 to get 2.

$$2^{6}$$

Calculate 2 to the power of 6 and get 64.

$$64$$

Factor

$$2^{6}$$