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
Exponent Definition Practice Test:

#1:

Instructions: Identify the base and exponent in each.

a) 14

b) 215

c) 87

d) 919

e) 1012

#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

#3:

Instructions: Write each as a repeated multiplication.

a) 2153

b) 1002

c) 90005

d) 147

e) 194

#4:

Instructions: Evaluate each.

a) 104

b) 33

c) 92

d) 132

e) 25

#5:

Instructions: Evaluate each.

a) 1015

b) 34

c) 27

d) 152

e) 106

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

#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

#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

#4:

Solutions:

a) 104 = 10,000

b) 33 = 27

c) 92 = 81

d) 132 = 169

e) 25 = 32

#5:

Solutions:

a) 1015 = 1,000,000,000,000,000

b) 34 = 81

c) 27 = 128

d) 152 = 225

e) 106 = 1,000,000