1

Problem

Simplify the expression \$(12^6)^8\$.

2

Step

Given expression

\$(12^6)^8\$

3

Step

Apply the power of a power rule:

\$(12^6)^8\$ = \$ 12^(6 \times 8) \$

4

Step

Calculate the exponent:

\$ 6 \times 8 \$

5

Solution

Therefore, the simplified expression is \$ 12^48 \$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This option is incorrect because it suggests multiplying the exponents to get 40 instead of 48

Wrong \$ 12^(40) \$

8

Choice-B

This option is incorrect because it suggests multiplying the exponents to get 45 instead of 48

Wrong \$ 12^(45) \$

9

Choice-C

This option is correct because it matches the simplified result

Correct \$ 12^(48) \$

10

Choice-D

This option is incorrect because it suggests multiplying the exponents to get 47 instead of 48

Wrong \$ 12^(47) \$

11

Step

Option

C

12

Sumup

Please Summarize Choices