Question

Evaluate this friends please ?

Answer 1

Hello.

First, let's recall the Properties of Exponents:

`\displaystyle((a)/(b) )^(m)`=
`\displaystyle(a^(m) )/(b^(m))`

Let's use this property to simplify the given expression:

`\displaystyle((9)/(16) )^(1)/(2)`

`\displaystyle\frac{9^{(1)/(2) } }{16\x^{(1)/(2) } }`

Now, the
`(1)/(2)` power means "square root of"

The square root of 9 is 3, and the square root of 16 is 4.

Thus, we have

`\displaystyle(√(9) )/(√(16) ) \\\displaystyle(3 )/(4)`

Therefore, the answer is

`\displaystyle(3)/(4)`

I hope it helps.

Have a nice day.

`\boxed{imperturbability}`