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

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.

Explanation: Here, we understand the relationship between exponents and radicals

Step 1b

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\$.

Explanation: We identified the components in the given expression \$ (3ab)^(2/5) \$ and rewrite the expression using the radical notation.


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