Question

Simplify: $\frac{1}{{\left(27\right)}^{-1/3}}+\frac{1}{{\left(625\right)}^{-1/4}}$.

Answer 1

$$\begin{gathered} \frac{1}{{\left(27\right)}^{{\displaystyle \frac{-1}{3}}}}+\frac{1}{{\left(625\right)}^{{\displaystyle \frac{-1}{4}}}} \\ ={\left(27\right)}^{\frac{1}{3}}+{\left(625\right)}^{\frac{1}{4}}={\left(3^3\right)}^{\frac{1}{3}}+{\left(5^4\right)}^{\frac{1}{4}}=3+5 \\ =8 \end{gathered}$$