This document discusses exponents and their meanings. Some key points covered include: - Exponents indicate the number of times a base is multiplied by itself. For example, 46 means 4 x 4 x 4 x 4 x 4 x 4. - As exponents get smaller, the answer gets smaller. For example, 24 = 16, 23 = 8, 22 = 4, 21 = 2, 20 = 1. - Expressions with exponents can be evaluated by performing the multiplication indicated by the exponent. For example, 43 = 4 x 4 x 4 = 64. - There is a difference between an expression and an equation - an expression is a mathematical phrase while an equation includes an equal sign and states that two expressions are

1. Vocabulary
• 46
Base Exponent
The exponent
is sometimes
referred to as
the power.

2. What is the
meaning of 46
?
• 46
means to
multiply the base 4
by itself 6 times.

3. The meaning of the
exponent:
•1.) 46
= 4•4•4•4•4•4
•2.) 43
= 4 • 4 • 4
•3.) 41
= 4
•4.) 40
= ?

4. The meaning of the exponent:
•4.) 40
= 1
If 8/4 = 2, then we can say that
23
/ 22
= 21
. So if 4/4 = 1,we can
say that 22
/ 22
= 20
, therefore 20
must EQUAL 1.
•5.) 4-1
= 1/4

5. Fill-in the chart
•1.) 24
=
•2.) 23
= 8
•3.) = 4
•4.) 21
=
•5.) 20
=
•6.) 2-1
=
•7.) 2-2
= 1/4
•8.) 2-3
=
As the exponent
gets smaller, what
do you notice
about the answer?

6. Fill - in the chart
•1.) 24
= 16
•2.) 23
= 8
•3.) 22
= 4
•4.) 21
= 2
•5.) 20
= 1
•6.) 2-1
= 1/2
•7.) 2-2
= 1/4
•8.) 2-3
= 1/8

7. Evaluate the following
expressions with exponents
•1.) n3
when n =4
•43
= 4 • 4 • 4 = 64
•43
= 64

8. Evaluate the following
expressions with exponents
•2.) 15 + x2
when x = 5
•15 + 52
•15 + 5 • 5
• 15 + 25 = 40

9. Evaluate the following
expressions with exponents
•3.) (3a + 6b)2
when a = 1 &
b =
2
(3(1) + 6(2))2
(3 + 12)2
(15)2
225

10. Evaluate the following
expressions with exponents
• 4.) 2x3
and (2x)3
when x = 4
•2(43
) and (2•4)3
•2(64) and (8)3
•128 and 512

11. Closure
•1.) What’s the difference
between an expression and
an equation?
•2.) What the difference
between a term and a
factor?

12. Closure - Name the following
What’s this?
What’s
this?

13. Closure - Name the following
1.) is 3 a factor or term?
2.) What is the 2 called?
3.) Is 3x a factor or a term?
4.) Is 3x + 2 an expression or
an equation?