1. 7.2 – Rational Exponents
The value of the numerator represents the power of the radicand.
The value of the denominator represents the index or root of the expression.
Examples:

2. 7.2 – Rational Exponents
More Examples: or

3. 7.2 – Rational Exponents or or
Examples: or

4. 7.2 – Rational Exponents
Use the properties of exponents to simplify each expression

5. 7.3 – Simplifying Rational Expressions
Product Rule for Square Roots
Examples:

6. 7.3 – Simplifying Rational Expressions
Quotient Rule for Square Roots
Examples:

7. 7.3 – Simplifying Rational Expressions

8. 7.3 – Simplifying Rational Expressions
Examples:

9. 7.3 – Simplifying Rational Expressions
Examples:

10. 7.3 – Simplifying Rational Expressions
The Final Fabulous Fun Example
2 𝑥 2 𝑦 4 𝑧
2 𝑥 2 𝑧 3
𝑥 𝑦 𝑧 3 5
2 𝑥 2 𝑧 3
𝑥 𝑦 𝑧 18 5