Select the simplification that accurately explains the following statement.

I NEED HEELP THIS IS A PLATOWEB QUESTION

Select the simplification that accurately explains the following statement I NEED HEELP THIS IS A PLATOWEB QUESTION class=

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Answer:

Choice C is correct

Step-by-step explanation:

We use the law of exponents in this problem;

[tex](a^{b})^{2}=a^{b}*a^{b}[/tex]

Therefore,

[tex](9^{\frac{1}{2} })^{2}=9^{\frac{1}{2} }*9^{\frac{1}{2} }[/tex]

Since the base is the same, that is 9, we simply add the exponents 1/2;

[tex]9^{\frac{1}{2}+\frac{1}{2} }[/tex]

one-half plus one-half is equal to unity and any number raised to one is simply equal to the given number;

[tex]9^{1}=9[/tex]

Answer:

(9 ^ (1/2)) ^ 2 = (9 ^ (1/2)) * (9 ^ (1/2)) = (9) ^ (1/2 + 1/2) = (9) ^ (2/2) = (9) ^ (1) = 9

Step-by-step explanation: