Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Simplify the expression |
Grade: 8-a Lesson: S3-L4 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Given that \$ (54 \times 4^-2 \times t^-3)/(4^-3 \times 9 \times t^-8)\$ |
|
2 |
Formula: |
By using this formula \$a^(-m)/a^(-n) = a^n/a^m\$ |
\$ (54 \times 4^-2)/(4^-3 \times 9) \times (t^8/t^3) \$ |
3 |
Formula: |
By using this formula \$a^m/a^n = a^(m-n) \$ |
\$ (54 \times 4^-2)/(4^-3 \times 9) \times t^(8-3) \$ |
4 |
Step |
After simplification |
\$ (54 \times 4^-2)/(4^-3 \times 9) \times t^5 \$ |
5 |
Formula: |
By using this formula |
\$a^m/a^n = a^(m-n) \$ |
6 |
Step |
After simplification |
\$ (54 \times 4^(-2-(-3)))/9 \times t^5 \$ |
7 |
Step |
After simplification the powers |
\$ (54 \times 4^(-2+3))/ 9 \times t^5 \$ |
8 |
Step |
After simplification we get |
\$(\cancel54^6 \times 4^1)/ \cancel9 \times t^5 \$ |
9 |
Step |
After cancellation |
\$ 6 \times 4 \times t^5 \$ |
10 |
Step |
After simplificationS |
\$ 24 \times t^5 \$ |
11 |
Answer |
D |
|
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