What is an exponent?
Exponents are a
shorthand way to show
a larger number.
Where is an exponent
Exponents are sometimes
referred to as “powers.”
How do you read an
A number with an exponent
is said to be "raised to the
power" of that exponent.
Let’s look at some
examples. . . .
32 = three raised to the second
power or three squared
53 = five raised to the third
power or five cubed
74 = seven raised to the fourth
What does an
We will use an example of
how the secret spread fast
to explain what does an
How does a secret
spread so fast?
• The person with a secret tells a
• The friend promises never to tell
• That same friend breaks the
promise and tells two more
• The two new friends tell two new
• The two new friends decide to
tell two more friends.
• This pattern occurs over and
over until many people have
• By the end of the day it is no
longer a secret!
Here is how a secret
3 x 3 =
I have a secret and I
tell 3 of my best
My 3 friends each tell 3 more people.
In an exponential expression, the base is the factor,
and the exponent tells the amount of times to
multiple that number by itself. (That is a mouthful!)
Your BASE = 3
Your EXPONENT = 4
• A base is a number that can be
expressed using an exponent.
• An exponent is the small number and is
referred to as a “power.”
3 means 3 x 3 x 3 or 27
• Recall: A number in exponential form
has a base and an exponent. The
exponent indicates how many times
the base is used as a factor.
• In its exponential form:
a is the BASE and
b is the EXPONENT.
The laws of exponents show how to
expressions in exponential form.
In the next few slides, a and b are real
numbers and m and n are integers.
Product of powers
• To multiply powers with the same
base, add the exponents.
a ∙a = a
Maslijr, 2013, Laws of exponents, viewed 05 March 2014, from
Melnichenko, Y., 2008, Exponents, viewed 05 march 2014, from
Morris, B., 2012, Grade 6 exponents lesson, viewed 05 March 2014, from
Scallion, K., 2010, Rules of exponents, viewed 05 March 2014, from
Wilkerosn,K., 2013, Exponents, viewed 05 march 2014, from