Page 126 - Math Course 1 (Book 1)
P. 126

Exponents

           Mo. 4

           Lesson 1


                                                                    Let’s Begin


          KEY CONCEPTS:
          1. Write expressions using exponents.
          2. Evaluate expressions containing exponents     Write Expressions Using
                                                           Exponents


         MO. 4 - L1a                                       Examples

           Write Expressions Using
                       Exponents                            A. Write 6 • 6 • 6 • 6 using exponents.


                                                                           The base is 6. It is a factor 4
                    Vocabulary A-Z                             Answer      times, so the exponent is 4.
                                                                                         4
                    Let us learn some vocabulary                           6 • 6 • 6 • 6 = 6

                                                             B. Write p using exponents.



        Factor                                                             The base is p. It is a factor 1
                                                               Answer      time, so the exponent is 1.
        Two or more numbers that are multiplied to form a                            p = p 1
        product are called factors.

                                                             C. Write (–1)(–1)(–1) using exponents.
                    2 x 2 x 2 x 2 = 16
                     The 2’s are the factors                              The base is –1. It is a factor
                                                              Answer      3 times, so the exponent is 3.
        Base
                                                                            (–1)(–1)(–1) = (–1) 3
        is the number that is multiplied.

                   24 <-- The 2 is the base.                 D. Write (5x + 1)(5x + 1) using exponents.


        Exponent                                                           The base is 5x + 1. It is a
                                                              Answer       factor 2 times, so the
        The exponent tells how many times the base is used                 exponent is 2.
        as a factor.                                                      (5x + 1)(5x + 1) = (5x + 1) 2
                  24 <-- The 4 is the exponent                       1
                                                                                              using
                                                             E. Write   2  x • x • x • x • y • y • y
        Power                                                    exponents.
                                                              First, group the factors with like bases.
        The number that can be expressed using an expo-       Then write using exponents.
        nent is also called a power.                        1                     1
                                                            2  x • x • x • x • y • y • y  =  2  • (x • x • x • x) • (y • y • y)
                                                                                4
                                                                    x • x • x • x = x  and y • y • y = y 3
            2 x 2 x 2 x 2 = 16 This can also be
            expressed  as 24 where 4 is  the power.                            1
                                                              Answer        =      x4y³
                                                                               2


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