Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

learn with an example or watch a video select all the expressions that …

Question

learn with an example or watch a video
select all the expressions that are equivalent to $\frac{12^{2}}{6^{2}}$.
$2^{2}$
$2$
$2^{0}$
$\frac{1}{2^{2}}$

Explanation:

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.

Answer:

A. $2^2$