Page 77 - Math Course 2 (Book 1)
P. 77

Monomial Expressions: Division




               Zero Exponent                                      Power of a Quotient

                                                                                  3
                                                                            3m n
                                                                               3  2
                Examples                                           Simplify                 4p q
                                                                               5
                                                                       3m n
                                                                          9  6
                                                                   A.     15 3
                                    0                                  4p q
                               8
                                 7
                           12m  n
                 Simplify                          . Assume that m and n are  27m n
                                                                            9  6
                              5
                           8m  n 10                                B.      15 3
                 not equal to zero.                                     64p q
                                                                        27m n
                                                                            6  3
                                                                   C.
                                                                            8 4
                                    0                                   64p q
                                 7
                               8
                           12m  n            0                             6  5
                           8m  n 10  = 1    a  = 1                 D.   6m n
                              5
                                                                           15
                                                                         7p q
                    Answer                   1                       Answer
                              0
                                3
                            m  n
                 Simplify                          . Assume that m and n are
                              n 2
                 not equal to zero.
                          m  n      =  (1)n      a = 1
                            0
                              3
                                        3
                                                0
                           n 2       n 2
                                                                  Zero Exponent
                                     3
                                    n          Simplify.
                                 =                                                    0
                                    n 2                                       3x  y
                                                                                  9
                                                                                2
                                                                    Simplify                          . Assume that z is not equal
                                                                               5z 12
                    Answer         n  Quotient of Powers            to zero.
                                                                    A.  3
                                                                      5
                Your Turn!                                          B. 1
               Quotient of Powers                                   C. 0
                         a b                                        D. –1
                          3  9
                Simplify               . Assume that a and b are equal to
                         ab 2
                zero.                                                Answer
                    4  11
                 A. a b
                   b 7
                 B.
                                                                                0
                                                                                  5
                   a 2                                                         x  k
                       9                                            Simplify                          . Assume that x and k are
                                                                                 3
                                                                                k
                    3
                 C. a  b 2
                                                                    not equal to zero.
                 D. a  b 7                                          A. xk
                    2
                                                                        2
                  Answer                                            B.  k 2
                                                                      x
                                                                    C. (xk) 2
                                                                    D. k 2
                                                                     Answer





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