1. 6-3: Rational Exponents Unit 6: Rational /Radical Equations

2. Recall: Exponent Rules Rational exponents behave exactly like the whole number exponents

3. Let’s look at some review problems

4. Definition of a rational exponent

5. Roots of nth roots CaseRootsExample Odd index1 real root Even index (positive radicand) 2 real roots Even index (negative radicand) No real roots radicand of 01 root of 0

8. Find all real roots 1.2.3. 4. 5. 6.

9. Simplifying nth roots Recall: and The same applies here: Ex.

10. Definition of a rational exponent A rational exponent is defined as: Where m and n are integers and n ≠ 0. Ex.

11. Write each expression in radical form and simplify. Write each expression using rational exponents. Solve.