Download presentation

Presentation is loading. Please wait.

Published byDenis Gilbert Modified over 7 years ago

1
copyright©amberpasillas2010

2
Simplify two different ways. == = =

3
copyright©amberpasillas2010 How do you divide expressions with exponents ? Ex: a5a5 a3a3 Let’s look at each problem in factored form. a a a a a a a a x x Notice that you can cancel from numerator to denominator. = a 2 = x2= x2 Do you see a “ shortcut ” for dividing these expressions? =

4
copyright©amberpasillas2010 Just Subtract the Exponents! Your short cut is called the Quotient of Powers Property.

5
copyright©amberpasillas2010 Simplify. x 5 x 2 == x 5 x 2 = Quotient of Powers Property x a x b = or “When you divide powers, you subtract the exponents!”

6
copyright©amberpasillas2010 Simplify. 5 5 5 5 5 5 6 = 5 4 5 6 - 4 = = 5 2 5 2 Quotient of Powers Property x a x b =

7
copyright©amberpasillas2010 Simplify Using What You Just Learned. 1) 3) 2) 4)

8
copyright©amberpasillas2010 Simplify Using What You Just Learned.

9
copyright©amberpasillas2010 Simplify Using What You Just Learned.

10
copyright©amberpasillas2010 Power to Power Rule ( ) x a = b x ab ( ) 2 3 = -2 2 3(-2) = 2 -6 = = ( ) 8 -2 = = Negative exponents follow rules of exponents.

11
copyright©amberpasillas2010 Simplify in two different ways. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction.

12
copyright©amberpasillas2010 Simplify in two different ways.

13
copyright©amberpasillas2010 COEFFICIENT: The number in front of the variable is the coefficient. Multiply coefficients. Add exponents if the bases are the same

14
copyright©amberpasillas2010 COEFFICIENT: The number in front of the variable is the coefficient. Multiply coefficients. Add exponents if the bases are the same

15
copyright©amberpasillas2010 COEFFICIENT: The number in front of the variable is the coefficient. Multiply coefficients. Add exponents if the bases are the same

16
copyright©amberpasillas2010 1) 2) Simplify.

17
copyright©amberpasillas2010

21
Take Out Your Study Guide!!!

22
copyright©amberpasillas2010 # 16 When Dividing Powers with the same base, just SUBTRACT THE EXPONENTS. This is called the Quotient of Powers Property. x 5 x 2 == x 5 x 2 = or

23
copyright©amberpasillas2010 #17

24
copyright©amberpasillas2010 COEFFICIENT: The number in front of the variable is the coefficient. Multiply coefficients. Add exponents if the bases are the same # 18 1) 2)

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google