Lesson Example Discussion Quiz: Class Homework |
Step-3 |
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. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Solve the Expression \$ (10^6/10^4) \times (4^5/4^3) \$. |
|
2 |
Step |
Given expression |
\$ (10^6/10^4) \times (4^5/4^3) \$. |
3 |
Step |
Simplify the first fraction: |
\$ (10^6/10^4 ) \$ = \$ (10^(6 - 4) ) \$ = \$ 10^2 \$ = 100 |
4 |
Step |
Simplify the second fraction: |
\$ (4^5/4^3 ) \$ = \$ (4^(5 - 3) ) \$ = \$ 4^2 \$ = 16 |
5 |
Step |
Multiply the simplified fractions: |
\$ 100 \times 16 \$ = 1600 |
6 |
Step |
So, the expression simplifies to 1600. |
|
7 |
Choice.A |
This option is incorrect because it doesn’t match the result of the multiplication |
1200 |
8 |
Choice.B |
This option is incorrect as it does not match the correct result of the calculation |
1400 |
9 |
Choice.C |
This option is incorrect because it does not match the result from the correct calculation 1600 |
1500 |
10 |
Choice.D |
This option is correct because \$(10^6/10^4) \times (4^5/4^3) = 10^2 \times 4^2 = 100 \times 16 = 1600\$ |
1600 |
11 |
Answer |
Option |
D |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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