2. Warm-up Get out your notes to prepare for your quiz.
What HW problems do you want to review beforehand?

3. Today’s Agenda
Quiz
7.5 Rational Numbers as Exponents

4. Comparison Activity
( 4 ) 2

5. Combining Roots and Powers
𝑘 𝑥 𝑚 = 𝑘 𝑥 𝑚 = =

6. Review Problems =
6𝑦 3 = =
3 (8𝑥 3 ) 2 =

7. Powers as Fractions Roots are the denominator Powers are the numerator
𝑥 = 𝑥 𝑥 2 = 𝑥 𝑥 5 = 𝑥 5 7
If the fraction is greater than one, you can simplify.
3 𝑥 5 =

8. Write without rational exponents
𝑦 =
(3a ) = = =

9. Write with rational exponents
4 𝑎 3 𝑏 2 𝑐
5 3𝑥
5 𝑥 2 𝑦 16

10. Write with rational exponents
( 3 7𝑎𝑏𝑐 ) 4
5 6 7
4 𝑥 2 𝑦 3

11. Negative Rational Exponents
𝑎 −1 2 =
4 −1 2 =

12. Negative Rational Exponents
5 −1 4 =
(3𝑥𝑦) −7 8 =
16 −3 4 =

13. Properties of Exponents×
( ) 2 3

14. Homework
7.5 pg 315 #3 – 75 multiples of 3