1

Problem

Simplify the expression \$(9^4)^5\$.

2

Step

Given expression

\$(9^4)^5\$

3

Step

Apply the power of a power rule:

\$(9^4)^5\$ = \$ 9^(4 \times 5) \$

4

Step

Calculate the exponent:

\$ 4 \times 5 = 20 \$

5

Solution

Therefore, the simplified expression is \$ 9^(20) \$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This option correctly shows the result of the simplification process

Correct \$ 9^(20) \$

8

Choice-B

This option is incorrect because it suggests multiplying the exponents \$4 \times 6.25\$, which does not match the given expression

Wrong \$ 9^(25) \$

9

Choice-C

This option is incorrect because it suggests multiplying the exponents \$4 \times 3.25\$, which is not true for the given expression

Wrong \$ 9^(13) \$

10

Choice-D

This option is incorrect because it suggests multiplying the exponents \$4 \times 4.75\$, which does not align with the given expression

Wrong \$ 9^(19) \$

11

Step

Option

A

12

Sumup

Please Summarize Choices