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Sedaia [141]
3 years ago
5

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, (1612)2=1622 . So, 1612 must equal (empty box) in radical form.
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer: (\sqrt{16})^2= 16

16^{\frac{1}{2}} must equal \sqrt{16} in radical form.


Step-by-step explanation: Given radical expression (\sqrt{16})^2.

First we would convert square root by exponent form.

Square root represents power 1/2.

Therefore,

(\sqrt{16})^2= (16^{1/2})^2

We know power rule (x^a)^b= x^{a\times b}.

Therefore,

By the Power of Power rule,

(16^{1/2})^2 = 16^{1/2 \times 2}

On simplifying powers, we get 1/2 \times 2 = 1.

Therefore, 16^{1/2 \times 2} = 16..

So, 16^{\frac{1}{2}} must equal \sqrt{16} in radical form.




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3 years ago
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Wittaler [7]
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