Download presentation

Presentation is loading. Please wait.

Published byEverett Mason Modified over 8 years ago

1
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall

2
Chapter 6 Exponents, Polynomials, and Polynomial Functions

3
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall 6.2 More Work with Exponents and Scientific Notation

4
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall The Power Rule and Power of a Product or Quotient Rule for Exponents If a and b are real numbers and m and n are integers, then (ab) n = a n · b n Power rule(a m ) n = a mn Power of a product Power of a quotient

5
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Use the power rule to simplify the following expressions. Use positive exponents to write all results. a. (x 7 ) 2 = 2 9 = 512 = 2 3·3 Example b. (2 3 ) 3 c. (3 −1 ) 3 Solution a. (x 7 ) 2 = x 72 = x 14 b. (2 3 ) 3 c. (3 −1 ) 3 = 3 −13 = 3 −3

6
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Use the power rule to simplify the following expressions. Use positive exponents to write all results. = 5 3 · (x 2 ) 3 · y 3 = 125x 6 y 3 a. (5x 2 y) 3 Example a. (5x 2 y) 3 Solution

7
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Summary of Rules for Exponents If a and b are real numbers m and n are integers, then: Product rule a m · a n = a m+n Power rule (a m ) n = a mn Power of a product (ab) m = a m · b m Power of a quotient Quotient rule Zero exponent a 0 = 1 (a 0) Negative exponent

8
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Simplify each expression. Use positive exponents to write the answers. Example a. (4xy −4 ) −2 Solution a. (4xy −4 ) −2 = 4 −2 x −2 (y −4 ) −2 = 4 −2 x −2 y 8

9
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Simplify the expression. Use positive exponents to write the answer. Example Solution

10
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Simplify each expression. Assume that a and b are integers and that x and y are not 0. Example a. Solution a.

11
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Perform the following operations. Write each result in scientific notation. = (7.3 · 8.1) (10 2 · 10 5 ) = 59.13 10 3 = 59,130 (7.3 10 2 )(8.1 10 5 ) a. b. Example Solution (7.3 10 2 )(8.1 10 5 ) a. b.

12
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Use scientific notation to simplify Write the result in scientific notation. Example Solution

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