1

Problem

Solve the expression: \$ 12^6/12^2 \$.

2

Step

Given expression

\$ (12^6)/(12^2) \$

3

Step

Apply the quotient rule for exponents: \$(a^m)/(a^n) = a^(m - n)\$

\$(12^6)/(12^2) \$

⇒ \$12^(6 - 2)\$

4

Step

Subtract the exponents:

\$(12^6)/(12^2) = 12^4\$

5

Solution

Therefore, the solved expression is \$12^4\$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This option is incorrect because it subtracts an incorrect value from the exponent sum. The correct exponent should be 6 - 2

Wrong \$12^3\$

8

Choice-B

This option is incorrect because it doesn’t account for the subtraction of the exponents, which should be 6 - 2

Wrong \$12^6\$

9

Choice-C

This option is incorrect because it incorrectly adds 1 to the exponent result, which should be 6 - 2

Wrong \$12^7\$

10

Choice-D

This step is correct because the result of the expression is \$12^4\$

Correct \$12^4\$

11

Step

Option

D

12

Sumup

Please Summarize Choices