Q. 594 - Intermediate Algebra

Question

In the following exercises, simplify. Assume all variables are positive.

$\frac{1}{\sqrt[3]{5}}.$

Step-by-Step Solution

Answer

The simplified answer is $\frac{1}{\sqrt[3]{5}}=5^{-\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}$

Step 1. Given Information

$We have \frac{1}{\sqrt[3]{5}}$

Step 2. Rewrite by using a n = a 1 n

$\frac{1}{\sqrt[3]{5}}=\frac{1}{5^{{\displaystyle \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}}}=5^{-\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}$