Lesson Example Discussion Quiz: Class Homework |
Step-4 |
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: \$ 15^15/15^10 \$. |
|
2 |
Step |
Given expression |
\$ 15^15/15^10 \$ |
3 |
Step |
Recognize that both terms have the same base (15). |
|
4 |
Formula: |
Property of exponents |
\$ (a^m)/(a^n) = (a^(m - n)) \$ |
5 |
Step |
Apply the property of exponent |
\$ 15^15/15^10 \$ = \$ 15^(15 - 10) \$ |
6 |
Step |
Simplify the exponent |
\$ 15^(15 - 10) \$ = \$ 15^5 \$ |
7 |
Step |
So, the expression \$ 15^15/15^10 \$ simplifies to \$ 15^5 \$. |
|
8 |
Choice.A |
This option is incorrect because it incorrectly adds 1 to the exponent difference |
\$15^6\$
|
9 |
Choice.B |
This answer is correct because the result of the expression is \$15^5\$ |
\$15^5\$
|
10 |
Choice.C |
This option is incorrect because it incorrectly adds 2 to the exponent difference |
\$15^7\$
|
11 |
Choice.D |
This option is incorrect because it incorrectly adds 4 to the exponent difference |
\$15^9\$
|
12 |
Answer |
Option |
B |
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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