1- 2
Powers and Exponents
MAIN IDEA
TEXT MESSAGING
Suppose
Use powers and
you text message one of
exponents.
your friends. That friend
New Vocabulary
then text messages two
Minutes Number of Text Messages
friends after one minute.
0
1
= 1
factors
The pattern continues.
exponent
1
1 × 2
= 2
base
How is doubling shown
1.
2
2 × 2
= 4
powers
in the table?
3
2 × 2 × 2
= 8
squared
cubed
How many text messages
2.
evaluate
will be sent after 4 minutes?
standard form
What is the relationship
3.
exponential form
between the number of
Math Online
2s and the number of
minutes?
• Extra Examples
• Personal Tutor
Two or more numbers that are multiplied together to form a product are
• Self-Check Quiz
called factors. When the same factor is used, you may use an exponent
to simplify the notation. The exponent tells how many times the base is
used as a factor. The common factor is called the base.
4
exponent
16
=
2
2
2
2
=
2
·
·
·
Powers
Words
five to the second power
2
5
or five squared
base
four to the third power
3
4
or four cubed
Numbers expressed using
4
2
two to the fourth power
exponents are called powers.
Write Powers as Products
Write each power as a product of the same factor.
1
5
2
2
7
3
Seven is used as a factor
Three is used as a
five times.
factor twice.
5
2
= 7 · 7 · 7 · 7 · 7
= 3 · 3
7
3
Write each power as a product of the same factor.
4
3
5
6
1
9
a.
b.
c.
30
Chapter 1 Introduction to Algebra and Functions