1. 7.2 Rational Exponents Rational Exponents
Exponential Expressions – Variables in Bases
Rational Exponents with Numerators > 1
Negative Rational Exponents
Applying Exponent Rules
Simplifying Radical Expressions
7.2

2. Rational (Fractional) Exponents
Rational Exponents can be used to express and manipulate factors containing radicals
7.2

3. Recall the Rules for Integer Exponents
7.2

4. Practice Express using rational exponents:
Simplify using rational exponents:
7.2

5. Expressions with Variable Bases
Assume that all variables are unrestricted and use absolute value symbols when necessary.
If we are told that the variables represent positive real numbers, the absolute value symbol in the answer for the first problem is not needed.
7.2

6. Summary
7.2

7. Rational Expressions Where the Numerator is greater than 1
Using Exponent Arithmetic, it’s a little easier
7.2

8. Negative Rational Exponents
7.2

9. Using Rational Exponents to Simplify Radicals
7.2

10. Examples
7.2

11. Examples
7.2

12. What Next?
Starring: 7.3 Multiplying Radical Expressions
7.2