1

Problem

Evaluate the following expression using the Power of a Quotient Rule: \$ (-22/6)^2 \$

2

Step

The given expression

\$ (-22/6)^2 \$

3

Step

First simplify the fraction within the parentheses:

\$ (-22/6)^2 = (-11/3)^2 \$

4

Formula

The Power of a Quotient Rule \$ (a/b)^n = a^n/b^n \$.

5

Hint

Now, we can apply the Power of a Quotient Rule, which states that \$ (-11/3)^2 = (- 11)^2/3^2 \$.

6

Step

Calculating the numerator and denominator:

\$(-11)^2/(3^2) = (121)/9 \$

7

Solution

So, the expression \$ (-22/6)^2 = (121)/9 \$.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This is not the correct step because it doesn’t match the result we obtained, which is \$(121)/9\$

Wrong \$ (124)/9 \$

10

Choice-B

This is not the correct step. It seems unrelated to our expression

Wrong \$ (131)/6 \$

11

Choice-C

This is the correct step. It matches the result we obtained, \$(121)/9\$

Correct \$ (121)/9 \$

12

Choice-D

This step is incorrect and appears unrelated to our question

Wrong \$ 12569 \$

13

Step

Option

C

14

Sumup

Please Summarize Choices