Question

Select the simplification that accurately explains the following statement.

Answer 1

Answer:

Choice C is correct

Step-by-step explanation:

We use the law of exponents in this problem;

$(a^{b})^{2}=a^{b}*a^{b}$

Therefore,

$(9^{\frac{1}{2} })^{2}=9^{\frac{1}{2} }*9^{\frac{1}{2} }$

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

$9^{\frac{1}{2}+\frac{1}{2} }$

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

$9^{1}=9$