Question

Evaluate this friends please ?

Answer 1

Hello.

First, let's recall the Properties of Exponents:

$\displaystyle(\frac{a}{b} )^{m}$= $\displaystyle\frac{a^{m} }{b^{m}}$

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

$\displaystyle(\frac{9}{16} )^\frac{1}{2}$

$\displaystyle\frac{9^{\frac{1}{2} } }{16\x^{\frac{1}{2} } }$

Now, the $\frac{1}{2}$ power means "square root of"

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

Thus, we have

$\displaystyle\frac{\sqrt{9} }{\sqrt{16} } \\\displaystyle\frac{3 }{4}$

Therefore, the answer is

$\displaystyle\frac{3}{4}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$