# How do you express 1/(5sqrt(x^2)) as a fractional exponent?

Sep 6, 2017

$\frac{1}{5} \cdot {x}^{2 \cdot - \frac{1}{2}} = \frac{1}{5} \cdot {x}^{-} 1$

#### Explanation:

...best I can do.

Sep 6, 2017

#### Explanation:

I don't really know if you actually mean.... $\frac{1}{\sqrt[5]{x}} ^ 2 \mathmr{and} \frac{1}{5 {\sqrt{x}}^{2}}$

But which so ever way...

Here is the processes below;

Process 1

For, $\to \frac{1}{\sqrt[5]{x}} ^ 2$

$\frac{1}{\sqrt[5]{x}} ^ 2$

Note that $\to \sqrt[5]{a} = {a}^{\frac{1}{5}}$

$\Rightarrow \frac{1}{x} ^ \left(2 \times \frac{1}{5}\right)$

$\Rightarrow \frac{1}{x} ^ \left(\frac{2}{5}\right) \to A n s w e r$, Since it's a fractional exponent, hence the answer should have been ${x}^{- \frac{2}{5}}$, since $\frac{1}{a} = {a}^{-} 1$

Process 2

For, $\to \frac{1}{5 {\sqrt{x}}^{2}}$

$\frac{1}{5 {\sqrt{x}}^{2}}$

$\Rightarrow \frac{1}{5 \times {\sqrt{x}}^{2}}$

Note that $\to {\sqrt{x}}^{2} = x$

$\Rightarrow \frac{1}{5 \times x}$

$\Rightarrow \frac{1}{5 x} \to A n s w e r$

Which ever way your questions is asked, those above processes gives you the solution to either..

Hope it's crystal??