Step-5

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 \$ (4^6/4^5) \times (5^6/5^4) \$.

2

Step

Given expression

\$ (4^6/4^5) \times (5^6/5^4) \$

3

Step

Simplify the first fraction:

\$ (4^6/4^5)\$ = \$ 4^(6 - 5) \$ = 4

4

Step

Simplify the second fraction:

\$ (5^6/5^4) \$ = \$ 5^(6 - 4) \$ = 25

5

Step

Multiply the simplified fractions:

\$ 4 \times 25 \$ = 100

6

Step

So, the expression simplifies to 100.

7

Choice.A

This option is incorrect because it does not match the multiplication result

20

8

Choice.B

This answer is correct because the result of the expression is 100

100

9

Choice.C

This is incorrect because there is no calculation that leads to 56

56

10

Choice.D

This is incorrect because \$4 \times 25\$ is not equal to 125

125

11

Answer

Option

B

12

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5


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