Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Representing Radicals with Exponents |
Grade: 8-b Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Change the following exponential expressions to radical expressions \$(9xy)^(1/3)\$. |
|
2 |
Step |
Given expression |
\$(9xy)^(1/3)\$ |
3 |
Step |
Understand the Exponent-to-Radical Conversion: |
The exponent \$1/3\$ corresponds to the cube root. |
4 |
Step |
Rewrite Using Radical Notation: |
Replace the exponent \$1/3\$ with the radical notation for the cube root. |
5 |
Step |
Express the Final Radical Form: |
\$(9xy)^(1/3) = root(3)(9xy)\$ |
6 |
Step |
The exponential expression \$(9xy)^(1/3)\$ as a radical expression is \$root(3)(9xy)\$. |
|
7 |
Choice.A |
This is incorrect because our original expression \$(9xy)^(1/3)\$ involves a cube root (not the 9th root) |
\$root(9)(3xy)\$ |
8 |
Choice.B |
This is the correct conversion of the given exponential expression to a radical expression |
\$root(3)(9xy)\$ |
9 |
Choice.C |
This is incorrect because our original expression \$(9xy)^(1/3)\$ involves a cube root (not the 6th root) |
\$root(6)(3xy)\$ |
10 |
Choice.D |
\$(9xy)^(1/3)\$ asks for the cube root, not the sixth root. Therefore, \$root(6)(9xy)\$ does not match the original expression |
\$root(6)(9xy)\$ |
11 |
Answer |
Option |
B |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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