## Related questions with answers

Question

Simplify by first writing in radical form.

$9^{-5 / 2}$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3We need to simplify the given expression using radicals. To do so, we need to first express it in radicals. Using the rule of exponents, we will have

$\begin{align*} &\quad\frac{1}{9^\frac{5}{2}} &&\text{Apply $a^{-m/n} = \dfrac{1}{a^{m/n}}$}\\ &= \frac{1}{\sqrt{9^{5}}} &&\text{Apply $a^{m/n} = \sqrt[n]{a^m}$}\\ &= \frac{1}{\sqrt{59049}} \end{align*}$

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