1

Problem

Evaluate the following expression using the Power of a Quotient Rule: \$ (4/5)^3 \$

2

Step

The given expression is

\$ (4/5)^3 \$

3

Formula

Power of a Quotient rule formula is \$(a/b)^m = a^m/b^m\$.

4

Step

Plug the expression in the formula

\$4^3/(5^3)\$

5

Step

Make it simpler

\$(64) / 125\$

6

Solution

Therefore, \$(4/5)^3\$ evaluates to \$(64)/125\$.

7

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

8

Choice-A

This option is incorrect because the denominator should be 125, not 15

Wrong \$ (64)/15 \$

9

Choice-B

This option is correct and matches our calculation

Correct \$ 64/(125) \$

10

Choice-C

This option simplifies to 2, which does not match our result

Wrong \$ 24/(12) \$

11

Choice-D

This option is incorrect and does not match our result

Wrong \$ 67/(126) \$

12

Step

Option

B

13

Sumup

Please Summarize Choices