Sect 4 8 Negative exponents

							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)