Solve frac{2sqrt[3]{2^2}+2sqrt[3]{2^4}+4}{4}

$$\frac{ 2 \sqrt[3]{ { 2 }^{ 2 } } +2 \sqrt[3]{ { 2 }^{ 4 } } +4 }{ 4 }$$

Evaluate

$$\frac{2^{\frac{2}{3}}}{2}+\frac{2^{\frac{4}{3}}}{2}+1\approx 3.053621576$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{2\sqrt[3]{4}+2\sqrt[3]{2^{4}}+4}{4}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{2\sqrt[3]{4}+2\sqrt[3]{16}+4}{4}$$

Factor

$$\frac{1}{\sqrt[3]{2}}+\sqrt[3]{2}+1$$