Page 79 - Math Course 2 (Book 1)
P. 79

Monomial Expressions: Division



               Apply Properties of Exponents


                 Refer to the f gure. Write the ratio of the
                 circumference of the circle to the area of       Read the Test Item
                 the square in simplest form.                     A ratio is a comparison of two
                                                                  quantities. It can be written in
                                                                  fraction form.
                 A.    2r      B.    2π
                    π              r                  r           Solve the Test Item
                                                                  • circumference of circle = 2 π r
                 C.    π       D.  2πr                               length of square = diameter of
                    2r            1                                  circle or 2rarea of square = (2r) 2
                                                                    circumference of a circle   2 π r
                                                                  •
                                                                        area of a square        (2r) 2
                    Answer       C                                                            2
                                                                          Quotient of Powers  =  π r  1–2
                                                                                              4
                                                                                              1
                                                                                    Simplify  =  π r  –1
                                                                                              2
                                                                                              π          1
                                                                                            =      a –n   =   n
                                                                                              2r        a

                Your Turn!


               Negative Exponents

                         a b                                                  –5a bc 6
                                                                                 –7
                          –2   3
                Simplify                                          Simplify
                          c –5                                               –25ab c
                                                                                  –2  –6
                Assume that no denominator is equal to zero.      Assume that no denominator is equal to zero.
                   b c                                               a b c
                                                                      8   3  12
                    3   5
                A.                                                A.
                    a 2                                                5
                   a b                                                b 3
                    2   3
                B.                                                B.
                    c 5                                               5a 8
                                                                     b c
                                                                      3   12
                   2 3 5
                C. a b c                                          C.
                                                                      5a 8
                   c a                                              –b c
                                                                       2   1
                    5   2
                D.                                                D.
                    b 3                                               5a 8
                  Answer                                            Answer
                             5   8   3
                Simplify  36x y z
                           9x  y z
                             4
                               2   6
                Assume that no denominator is equal to zero.
                     6   4
                   xy z
                A.
                     4
                  27 xy 6

                B.
                    z 3
                    4z 3
                C.
                    xy 6
                   4xy 6
                D.
                    z 3
                  Answer
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