Lesson Example Discussion Quiz: Class Homework |
Step-1 |
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 \$(7x)^(2/5)\$. |
|
2 |
Step |
Division of complex Numbers |
The expression \$(7x^(2/5))\$ is in the form \$a^(m/n)\$. |
3 |
Step |
Identify the components: |
a = 7x |
4 |
Formula: |
Apply the property of exponents and radicals: |
\$a^(m/n) = root(n)(a)^m\$ |
5 |
Step |
Substitute a, m and n values into the property |
\$7x^(2/5) = root(5)(7x)^2\$ |
6 |
Step |
The radical form of the given exponential expression is \$root(5)(7x)^2\$. |
|
7 |
Choice.A |
This option correctly represents the conversion of \$(7x)^(2/5)\$ to its radical form |
\$root(5)(7x)^2\$ |
8 |
Choice.B |
The base 7x should remain unchanged. However, this option changes the base to 5x and the index to 7, which does not match the original expression \$(7x)^(2/5)\$ |
\$root(7)(5x)^2\$ |
9 |
Choice.C |
The base 7x should remain unchanged. However, this option changes the base to 2x and the exponent to 5, which does not match the original expression \$(7x)^(2/5)\$ |
\$root(5)(2x)^5\$ |
10 |
Choice.D |
The base 7x should remain unchanged. However, this option changes the base to 5x, the exponent to 7, and the index to 2, which does not match the original expression \$(7x)^(2/5)\$ |
\$root(2)(5x)^7\$ |
11 |
Answer |
Option |
A |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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