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Introduction to Exponents Test
About Introduction to Exponents:

Whole number exponents (1 or larger) allow us to conveniently write the multiplication of the same number. For example: 4 x 4 x 4 x 4 x 4 x 4, written using an exponent is 4 6. This is read as four to the sixth power and tells us that we have six factors of four or 4096.

Test Objectives:

•Demonstrate the ability to identify the base and exponent in an exponential expression

•Demonstrate the ability to convert between a repeated multiplication and exponent form

•Demonstrate the ability to evaluate an exponential expression

Introduction to Exponents Test:




#1:


Instructions: Identify the base and exponent in each.


a) 14


b) 215


c) 87


d) 919


e) 1012


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#2:


Instructions: Write each in exponent form.


a) 2 x 2 x 2


b) 15 x 15 x 15 x 15 x 15


c) 7 x 7


d) 8 x 8 x 8 x 8 x 8 x 8


e) 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10


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#3:


Instructions: Write each as a repeated multiplication.


a) 2153


b) 1002


c) 90005


d) 147


e) 194


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#4:


Instructions: Evaluate each.


a) 104


b) 33


c) 92


d) 132


e) 25


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#5:


Instructions: Evaluate each.


a) 1015


b) 34


c) 27


d) 152


e) 106


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Written Solutions:




#1:


Solution:


a) 14 : 1 - base, 4 - exponent


b) 215 : 2 - base, 15 - exponent


c) 87 : 8 - base, 7 - exponent


d) 919 : 9 - base, 19 - exponent


e) 1012 : 10 - base, 12 - exponent


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#2:


Solution:


a) 2 x 2 x 2 = 23


b) 15 x 15 x 15 x 15 x 15 = 155


c) 7 x 7 = 72


d) 8 x 8 x 8 x 8 x 8 x 8 = 86


e) 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1010


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#3:


Solution:


a) 2153 = 215 x 215 x 215


b) 1002 = 100 x 100


c) 90005 = 9000 x 9000 x 9000 x 9000 x 9000


d) 147 = 14 x 14 x 14 x 14 x 14 x 14 x 14


e) 194 = 19 x 19 x 19 x 19


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#4:


Solution:


a) 104 = 10,000


b) 33 = 27


c) 92 = 81


d) 132 = 169


e) 25 = 32


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#5:


a) 1015 = 1,000,000,000,000,000


b) 34 = 81


c) 27 = 128


d) 152 = 225


e) 106 = 1,000,000


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