How to simplify this indices? simple question

I'm kinda stuck on this question.how to simplify it? any help would be greatly appreciated

I just not sure what the first step should be.

(edited 8 years ago)

I'm kinda stuck on this question.

how to simplify it? any help would be greatly appreciated

I just not sure what the first step should be.

Simplify the fraction inside the brackets first!

X^2 = sqrt(x)

I'm kinda stuck on this question.

how to simplify it? any help would be greatly appreciated

I just not sure what the first step should be.

You can cancel the two's out so you get:

\displaystyle \left(\frac{16}{25}\right)^{1/2}

and then notice that you can write

16 = 4^2

and

25 = 5^2

to get:

\displaystyle \left(\frac{4^2}{5^2}\right)^{1/2}

but having something to the power half is just square rooting it: so it's just simplifying

\displaystyle \sqrt{\frac{4^2}{5^2}}

and then a simple application of

\displaystyle \sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}

and

\sqrt{c^2} = c

(for

c>0

) yields the require simplification

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