1. Evaluate nth Roots and Use Rational Exponents
Notes 6.1
Evaluate nth Roots and Use Rational Exponents

2. Notation Rational Exponent Notation
The form that has a fraction in the exponent.
Radical notation
The form that has a root.

3. Exponents with Fractions
Sometimes a fraction can be in the exponent! YAY!
The numerator of the fraction in the exponent is the base’s exponent.
The denominator of the fraction in the exponent is the base’s root.
HOORAYYYY!!!

4. Rational Exponents: If the numerator in the exponent is positive:
If the numerator in the exponent is negative:

5. Evaluate.

6. Evaluate.

7. Evaluate.

8. Evaluate.

9. Find the indicated nth roots (s) of a.
n = 3, a = -64
n = 5, a = 243

10. Find the indicated nth roots (s) of a.
n = 4, a = 625
n = 6, a = 64

11. Solve equations using nth roots.

12. Solve equations using nth roots.

13. Solve equations using nth roots.

14. Solve equations using nth roots.

15. Solve equations using nth roots.

16. Solve equations using nth roots.

17. Homework
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