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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.

Respuesta :

We are given expression: [tex](\sqrt{16})^2[/tex].

Square root in exponent form is power [tex]\frac{1}{2}[/tex].

Therefore, [tex]\sqrt{16} = 16^{1/2}[/tex].

Now, replacing square root of 16 by [tex]16^{1/2}[/tex] in original expression we are given, we get

[tex](\sqrt{16})^2 = (16^{1/2})^2 = (16)^2/2 = 16[/tex].

Therefore,

[tex](\sqrt{16})^2[/tex]= 16 in simplest form. By the Power of Power rule, [tex](16^{1/2})^2=16^{2/2}[/tex] . So, [tex]16^{1/2}[/tex] must equal[tex]\sqrt{16}[/tex] in radical form.

McMangos05

Answer

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

Step-by-step explanation:

i took the test

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