Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Representing Radicals with Exponents |
Grade: 8-b Lesson: S2-L1 |
Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
Change the following exponential expressions to radical expressions
\$ (3ab)^(2/5) \$.
Step 1a
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The general form \$ a^(m/n) \$ can be written as \$ (root(n) a)^m \$ Here, the base a is raised to the power of \$ m/n \$, where n is the root and m is the exponent. |
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Explanation: Here, we understand the relationship between exponents and radicals |
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Step 1b
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The base is 3ab. The exponent is \$ 2/5 \$, where m = 2 and n = 5. \$ (3ab)^(2/5) \$ can be written as \$ (root(5)(3ab))^2 \$. So, the expression \$ (3ab)^(2/5) \$ in radical form is \$(root(5)(3ab))^2\$. |
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Explanation: We identified the components in the given expression \$ (3ab)^(2/5) \$ and rewrite the expression using the radical notation. |
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