Download presentation

Presentation is loading. Please wait.

Published byMae Willis Modified over 4 years ago

1
Properties Of Exponents Haley Dowdie, Ariana Langston, & Lynn Nguyen

2
What are the Properties? Product of Powers Property Power of A Power Property Power of A Product Property Negative Exponent Property Zero Exponent Property Quotient of Powers Property Power of A Quotient Property Don't worry too much about the names! What's important is understanding each concept

3
Product of Powers Property a m x a n = a m+n Example: 5 4 x 5 8 =5 4+8 =5 12 Note: Remember SAME bases --> ADD the exponents

4
Power of a Power Property (a m ) n =a mn Basically just multiply the exponents Examples: (4 3 ) 2 = 4 3x2 = 4 6

5
Power of A Product Property (ab) m = a m b m (3n) 4 = 3 4 n 4 Remember this is not true for (3+n) 4 : you cannot distribute the exponent in this case

6
Negative Exponent Property a -n = 1/a n or 1/a -n = a n Example: 8 -2 = 1/8 2 = 1/64 Note: Negative exponents indicate reciprocation, with the exponent of the reciprocal becoming positive.

7
Zero Exponent Property a 0 = 1 Examples: 6 0 =1 (8x 4 ) 0 =1 Remember that any number raised to the zero power is equal to “1”.

8
Quotient of Powers Property (a/b) n = a n /b n To raise a quotient to a power, raise the numerator and the denominator to the power. Example: ( a 3 / b 2 ) 4 = ( a 12 / b 8 )

9
Power of A Quotient Property a b /a c = a b-c Example: 9 5 /9 2 = 9 3 When you divide two powers with the same base, you subtract the exponents. For all real numbers a,b, and c, when a doesn't equal to 0.

10
I hope these slides helped you to understand the properties of exponents! :)

Similar presentations

© 2020 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