Question

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

Answer 1

`1/5 * x^(2 * -1/2) = 1/5 * x^-1`

Explanation:

...best I can do.

Answer 2

Please see processes below.....

Explanation:

I don't really know if you actually mean.... `1/root(5)x^2 or 1/(5 sqrtx^2)`

But which so ever way...

Here is the processes below;

Process 1

For, `-> 1/root(5)x^2`

`1/root(5)x^2`

Note that `-> root(5)a = a^(1/5)`

`rArr 1/x^(2 xx 1/5)`

`rArr 1/x^(2/5) -> Answer`, Since it's a fractional exponent, hence the answer should have been `x^(-2/5)`, since `1/a = a^-1`

Process 2

For, `-> 1/(5 sqrtx^2)`

`1/(5 sqrtx^2)`

`rArr 1/(5 xx sqrtx^2)`

Note that `-> sqrtx^2 = x`

`rArr 1/(5 xx x)`

`rArr 1/(5x) -> Answer`

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

Hope it's crystal??