About Exponent Definition:
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 46. 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
#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:
Solutions:
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:
Solutions:
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:
Solutions:
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:
Solutions:
a) 104 = 10,000
b) 33 = 27
c) 92 = 81
d) 132 = 169
e) 25 = 32
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#5:
Solutions:
a) 1015 = 1,000,000,000,000,000
b) 34 = 81
c) 27 = 128
d) 152 = 225
e) 106 = 1,000,000
