Answer
0.116
Work Step by Step
Move the negative exponents along with their corresponding base to the opposite side of a fraction.
$\frac{1}{6^\frac{6}{5}}$
$a^{\frac{b}{c}}$ is equivalent to $\sqrt[c] {a^{b}}$.
$\frac{1}{\sqrt[5] {6^6}}$
Simplify.
$\frac{1}{\sqrt[5] {46656}}$
$\frac{1}{8.585814486631534...}$
Divide.
0.11647118646193...
Round to the nearest thousandth.
0.116
