30 PTS!!! PLEASE HELP ME HURRY!!!!! What values complete each statement? Enter your answers in the boxes. (16−−√)2 = (empty box) in simplest form. By the Power of Power rule, …

Question

asked Jun 26, 2019 187k views

1 Answer

Emin Bugra Saral · Answer 1 · 2019-07-03T15:10:50+0000

Answer:
(√(16))^2= 16

$16^{(1)/(2)}$ must equal
√(16) in radical form.

Step-by-step explanation: Given radical expression
(√(16))^2 .

First we would convert square root by exponent form.

Square root represents power 1/2.

Therefore,

(√(16))^2= (16^(1/2))^2

We know power rule
(x^a)^b= x^(a* b) .

Therefore,

By the Power of Power rule,

(16^(1/2))^2 = 16^(1/2 * 2)

On simplifying powers, we get
1/2 * 2 = 1 .

Therefore,
16^(1/2 * 2) = 16. .

So,
$16^{(1)/(2)}$ must equal
√(16) in radical form.