Copy and complete each statement in Exercises 1. (45)2 = 45. 45 = 4+ %3D 45 4 %3D %3D

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 94E
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Còncept Byte
Pow
Use With Lesson 7-3
and Powers of Products
ACTIVIT Y
fou can use patterns to find a shortcut for simplifving a power raised to a power or a
product raised to a power.
Activity 1
Copy and complete each statement in Exercises 1-9.
1. (45)2 = 45.45 = 4 + = 45. = 4
2. (36)3 = 36 . 36 . 36
3++
36.
= 3
3. (58)4 = 58.58.58.58 = 5+++ = 58 = 5
4. (4)3 = 45. 45· 45 = 4 ++I - 4 = 4
%3D
5. (5)4 = 5. 52 . 5.5 = 5+++ - 5 = 5
6. (at)2 = a4 .at = a+I = at = a
7. (n2)3
= 1.. = n++ = n2.
= n
8. (x5)4 = ■.题.照,图 1 ■- y5.■-y
9. (ai)* = ■ =D g++圖+国
C10. a. Look for a Pattar What pattern do you see in your answers to Exercises 1-9?
b. Predict Use your pattern to simplify (y!)33.
Activity 2
Copy and complete each statement in Exercises 11-15.
11. (3n)2
= 3n · 3n = (3 · 3)(n•n) = 3 n
12. (2x)3 = 2x•2x· 2x = (2 · 2·2)(x•x•x) = 2 x
13. (ab)2 = ab• ab = (a · a)(b· b) = a b
14. (xy)3 = xy • xy• xy = (I·I·
I.1). =
15. (ра)4
(.. ) = p q bes dino
© 16. a. Look for a Pattern What pattern do you see in your answers to
Exercises 11-15?
b. Predict Use your pattern to simplify (rs)20.
Transcribed Image Text:Còncept Byte Pow Use With Lesson 7-3 and Powers of Products ACTIVIT Y fou can use patterns to find a shortcut for simplifving a power raised to a power or a product raised to a power. Activity 1 Copy and complete each statement in Exercises 1-9. 1. (45)2 = 45.45 = 4 + = 45. = 4 2. (36)3 = 36 . 36 . 36 3++ 36. = 3 3. (58)4 = 58.58.58.58 = 5+++ = 58 = 5 4. (4)3 = 45. 45· 45 = 4 ++I - 4 = 4 %3D 5. (5)4 = 5. 52 . 5.5 = 5+++ - 5 = 5 6. (at)2 = a4 .at = a+I = at = a 7. (n2)3 = 1.. = n++ = n2. = n 8. (x5)4 = ■.题.照,图 1 ■- y5.■-y 9. (ai)* = ■ =D g++圖+国 C10. a. Look for a Pattar What pattern do you see in your answers to Exercises 1-9? b. Predict Use your pattern to simplify (y!)33. Activity 2 Copy and complete each statement in Exercises 11-15. 11. (3n)2 = 3n · 3n = (3 · 3)(n•n) = 3 n 12. (2x)3 = 2x•2x· 2x = (2 · 2·2)(x•x•x) = 2 x 13. (ab)2 = ab• ab = (a · a)(b· b) = a b 14. (xy)3 = xy • xy• xy = (I·I· I.1). = 15. (ра)4 (.. ) = p q bes dino © 16. a. Look for a Pattern What pattern do you see in your answers to Exercises 11-15? b. Predict Use your pattern to simplify (rs)20.
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