1. 7.4 Rational Exponents

2. Fractional Exponents (Powers and Roots) “Power” “Root”

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 ( x 4 )³

8. POWER OF PRODUCT RULE ( 2x 4 ) ⁵

9. POWER OF A QUOTIENT RULE

10. POWER OF QUOTIENT 2 RULE

11. RATIONAL EXPONENT RULE

12. RADICAL TO EXPONENT RULE

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

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

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

16. Let’s Try Some