# Sect 4 8 Negative exponents

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```							Section 4.8             Negative Exponents

1
A. For any real number: a-n =                     [Note that base “crossing” the fraction bar changes sign of
an
exponent ONLY.]
1 1                              1    1
Examples: 3-1 =                               4-2 = 2                      9-2 = ______         10-1 = _______
31 3                             4    16
1        1       1                                         1      1
(-5)-3 =                                   -3-2 means –(3-2) = -               (-4)-1 = _______     x-6 = ______
(5) 3
 125    125                                        3 2
9

Simply by eliminating the negative exponents.

1. 4-1 = ________               2. 2-3 = ________                    3. (-5)2 = ________

4. –52 = ________               5. y-2 = ________                    6. 3-2 = ________

7. (-3)-2 = ________            8. 4-2 = ________                    9. m-1 = ________

1
B. For any real number:           n
 a n [Note that the base “crossing” the fraction bar changes the sign of
a
the exponent ONLY.]
1                1                       1                           1
EX:     4
 y4          2
 4 2  16           5
 ________                  =__________
y                4                       x                           6 1

1                                            1                               1
10.        = _________                      11.         = ________           12.        = _________
a 3                                         x 5                            2 3

13. xy-3 = _________                        14. (xy)-3 = ________            15. 5m-4 = _________

2                                7
16. a-5b3 =_________                        17.         ________            18.         ________
x 4                             n 9

 exp.             exp.             2                         3
                                     3                          m
C. For any real number:                                  Ex.   = ________                 = _________
                                     x                         5

3                                          2                              2
W                                        4                               4
19.   =________                          20.   = ________               21.           =________
X                                         m                             5
Eliminate negative exponents. If there are negative exponents inside parentheses, eliminate those first.
Use Rules of exponents to simplify.

22. x3x-5 = _________         23. y-7y3 = ________          24. m-3m-12 = ________

x6                            y 3                          m 4
25.        =_________         26.        = _________        27.         ________
x 3                          y8                            m 6

 
28. x 2
5
= ________           
29. n 3
2
= ________            
30. m 4
3
= _________

2                           1                            2
 2 x 4                      7                           v 5 
31.  3  =_______
 y                      32.  2  = ________
y                       33.  6  = ________
m 
                                                              

34. (2x3y-4)3 = ________      35. (4x-2y5)-2 = ________     36. (5x8y-3)-1 = ________

7 x 3                       5m 2                          7 a 1
37.            = _______      38.            = ________     39.              = __________
m 2 y 4                      b 5 k 4                      r 3 s  6

Homework: Page 267: Odds 1- 23, odds 37-61, 67, 71, 77, odds 81-85                          (024)

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