Question

PLEASE HELP!!!!! What values complete each statement? Enter your answers in the boxes. (16‾‾‾√)2 = _ in simplest form. By the Power of Power rule, (1612)2=1622 . So, 1612 must equal _ in radical form.

Answer 1

let me just dum it down a little... the first box is 16 and the second box is √16

Explanation:

i took the test

Answer 2

We are given expression:
`(√(16))^2`.

Square root in exponent form is power
`(1)/(2)`.

Therefore,
`√(16) = 16^(1/2)`.

Now, replacing square root of 16 by
`16^(1/2)` in original expression we are given, we get

`(√(16))^2 = (16^(1/2))^2 = (16)^2/2 = 16`.

Therefore,

`(√(16))^2`= 16 in simplest form. By the Power of Power rule,
`(16^(1/2))^2=16^(2/2)` . So,
`16^(1/2)` must equal
`√(16)` in radical form.