Download presentation

Presentation is loading. Please wait.

Published byBuddy Black Modified over 5 years ago

2
Warm Up Evaluate. 27 1. 3 3 2. 4 4 4 4 3. b 2 for b = 4 4. n 2 r for n = 3 and r = 2 256 16 18

3
Lesson 4.3: Powers of Exponents

4
Objectives Multiply, divide, and simplify rational numbers by using exponent rules (NS 2.3). Understand negative whole-number exponents. (NS 2.1)

5
Parts of a power Parts of a power A power has two parts: a base and an exponent. Baserepresents the repeated factor in the product Exponent represents the number of times the base is repeated as a factor in the product. Base Exponent Factors =a●a●a●a a4a4 Read, “a to the forth power.”

7
Multiplying Powers with the same base (a ●a ● a ● a ●a) ●(a ● a ● a) a 5 ●a 3 = 5 factors 3 factors 8 factors = a 8 Notice: The exponent of a is 8, which is equal to 5 + 3.

8
a) 2 2 2 2 b) x9 x c) 3 6 3 -2 = 22+2= 24 = 16 = x9+1 =x10 1 = 36+-2 = 34 = 81 Rule #1When multiplying powers with the same base, ADD the exponents. Rule #1: When multiplying powers with the same base, ADD the exponents. a m a n = a m + n

9
1 Now you try.

10
2x 2 3x 4 Using repeated multiplication Using exponent rule = (2 x x) (3 x x x x) = 6x 6 = (2 3) (x 2 x 4 ) = 6x 2 + 4 a m a n = a m + n Multiplying Variable Expressions

11
Simplify. Simplifying Variable Expressions

12
Raising a Power with a Power A. (5 4 ) 2 (5 4 ) 2 5 4 2 5858 B. (6 7 ) 9 (6 7 ) 9 6 7 9 6 63 Simplify each expression. Write your answer in exponential form. C. D. (17 2 ) –20 17 2 –20 17 –40 2323 12 –3 2323 –36 Multiply exponents.

14
c5c5 c3c3 = c c c c c c c c 111 111 3 copies of c 5 copies of c Dividing Powers with the same base =c c=c 2 Notice: The exponent of c is 2, which is equal to 5-3

15
Rule #2 Rule #2: When dividing powers with the same base, SUBTRACT the exponents of the denominator from the exponent of the numerator. amam anan = a m - n 2525 2323 = 2 5 - 3 a) b) 8x 8 4x 3 = 2x 8 - 2 = 2 2 = x 6 x5y4x5y4 x3yx3y = x 5 -3 y 4-1 =x 2 y 3 c)

16
Now you try

17
Summary When multiplying powers with the same base, keep the base and add the exponents. When dividing powers with the same base, keep the base and subtract the exponents.

18
Lesson Quiz 3. 8 9 n 7 1. n 3 n 4 10 9 10 5 10 4 4. t 2 5. 3 2 3 3 3 5 3 10 2. 8 8 8 t 9 t 7 6. (m 2 ) 19 m 38 7. (9 -8 ) 9 8. (10 4 ) 0 1 Simplify each expression. Write your answer in exponential form. 1 9 72

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