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Question
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select all the expressions that are equivalent to $\frac{12^{2}}{6^{2}}$.
$2^{2}$
$2$
$2^{0}$
$\frac{1}{2^{2}}$
Step1: Calculate the original expression
First compute the numerator and denominator:
$12^2 = 144$, $6^2 = 36$
$\frac{12^2}{6^2} = \frac{144}{36} = 4$
Step2: Evaluate each option
- $2^2 = 4$
- $2 = 2$
- $2^0 = 1$
- $\frac{1}{2^2} = \frac{1}{4}$
Step3: Match equivalent values
Identify which option equals 4.
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A. $2^2$