Step-2

Title: Product and Quotient Rule for Exponents

Grade: 6-b Lesson: S3-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Discussion: Step1 Step2 Step3 Step4 Step5

Lesson Steps

Step Type Explanation Answer

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

Step

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

6

Choice.A

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

\$12^3\$

7

Choice.B

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

\$12^6\$

8

Choice.C

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

\$12^7\$

9

Choice.D

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

\$12^4\$

10

Answer

Option

D

11

Sumup

Can you summarize what you’ve understood in the above steps?

Discussion: Step1 Step2 Step3 Step4 Step5


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