1. 7.4 Rational Exponents

2. Fractional Exponents (Powers and Roots)

3. Quick Review – Exponent Rules

4. NEGATIVE EXPONENT RULE
Upstairs – Downstairs: A negative exponent means it’s in the wrong place.

5. PRODUCT OR POWER RULE
HAVE TO HAVE THE SAME BASE

6. QUOTIENT OF POWER RULE
HAVE TO HAVE THE SAME BASE

7. POWER OF POWER RULE
(x4)³

8. POWER OF PRODUCT RULE
(2x4)⁵

9. POWER OF QUOTIENT 2 RULE

10. RATIONAL EXPONENT RULE

11. RADICAL TO EXPONENT RULE

12. Let’s put a few ideas together
Convert the decimal to a fraction

13. EX - simplify Need to Rationalize!
Remember: We are ADDING exponents here – what do we need to add fractions?
How did we get to here???

14. Let’s Try Some
Hint: convert to a fraction rather than a decimal!

15. Let’s Try Some