Question

Simplify ${\left(32\right)}^{\frac{1}{5}}+{\left(-7\right)}^0+{\left(64\right)}^{\frac{1}{2}}$.

Answer 1

$$\begin{gathered} {\left(32\right)}^{\frac{1}{5}}+{\left(-7\right)}^0+{\left(64\right)}^{\frac{1}{2}}={\left(2^5\right)}^{\frac{1}{5}}+1+{\left(2^6\right)}^{\frac{1}{2}} \\ =2+1+2^3 \\ =2+1+8 \\ =11 \end{gathered}$$

Hence, ${\left(32\right)}^{\frac{1}{5}}+{\left(-7\right)}^0+{\left(64\right)}^{\frac{1}{2}}$ = 11.