Download presentation

Presentation is loading. Please wait.

Published byMelvyn Stanley Modified over 8 years ago

1
Exponents

2
What number is being multiplied over and over again? 5 5 5 How many times is 5 used as a factor?

3
The base is the number being multiplied. The exponent is the number of times the number is a factor. 5 5 5 5 5 5 = 5 6 Identify the base and the exponent in 5 6.

4
Multiplying Powers with the Same Base To multiply powers with the same base, add the exponents. 5 4 5 2 = 5 (4 + 2) = 5 6 5 5 5 5 5 5 = 5 6

5
Dividing Powers with the Same Base To divide powers with the same base, subtract the exponents. 5 5 5 5656 5 6 ÷ 5 4 = == 52= 52 5 5 5454 Case 1 — result has a positive exponent 5 6 ÷ 5 4 = 5 (6 – 4) = 5 2

6
Dividing Powers with the Same Base To divide powers with the same base, subtract the exponents. Case 2 — result has a negative exponent 5 4 ÷ 5 6 = 5 (4 – 6) = 5 –2 5 5 5 5454 5 4 ÷ 5 6 = == 5 –2 5 5 5656 1 5252 =

7
Dividing Powers with the Same Base To divide powers with the same base, subtract the exponents. Case 3 — result has an exponent of 0 5 4 ÷ 5 4 = 5 (4 – 4) = 5 0 = 1 5 5 5454 5 4 ÷ 5 4 = = 5 5 5454 = 1

8
Power to a Power To raise a power to a power, multiply the exponents. (5 4 ) 2 = (5 5 5 5)(5 5 5 5) = 5 8 (5 4 ) 2 = 5 (4 2) = 5 8

9
Product to a Power To raise a product to a power, raise each factor to the power and then multiply. Or, you can find the product first, and then raise to the power. (4 6) 2 = 4 2 6 2 = 16 36 = 576 (4 6) 2 = 24 2 = 24 24 = 576

10
Quotient to a Power To raise a quotient to a power, raise the numerator and denominator to the power and then divide. 22 2 2w 2 x y3y3 4 = 2 4 w (2 x 4) x (4) y (3x4) = 16w 8 x 4 y 12

11
Copyright © 2009 StudyIsland.com All rights reserved.

Similar presentations

© 2024 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