This document defines exponents and provides examples of evaluating expressions with exponents. It begins by explaining that the exponent, sometimes called the power, indicates how many times the base is used as a factor. Examples are then given to show 4^6 means 4 x 4 x 4 x 4 x 4 x 4. Further examples evaluate expressions like 2^4, 2^-1, and (3a + 6b)^2. The document concludes by asking the reader to name factors, terms, expressions, and equations.

1. Vocabulary
• Base 4 6 Exponent
The exponent
is sometimes
referred to as
the power.

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

3. The meaning of the
exponent:
•1.) 4 = 4•4•4•4•4•4
6
•2.) 4 = 4 • 4 • 4
3
•3.) 4 = 4
1
•4.) 4 = ?
0

4. The meaning of the exponent:
•4.) 4 = 1
0
•5.) 4 = 1/4
-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. Fill-in the chart
•1.) 2 = the •5.) 2 =
4
As 0
exponent
3gets smaller, what
•2.) 2 = do you notice =
8 •6.) 2 -1
•3.) = 4 •7.) 2
about the answer?= 1/4
-2
• 4.) 2 =
1 •8.) 2 =
-3

6. Fill - in the chart
•1.) 2 = 16
4
•5.) 2 = 1
0
•2.) 2 = 8
3
•6.) 2 = 1/2
-1
•3.) 2 = 4
2
•7.) 2 = 1/4
-2
•4.) 2 = 2
1
•8.) 2 = 1/8
-3

7. Evaluate the following
expressions with exponents
• 1.) n when n =4
3
•4 = 4 • 4 • 4 = 64
3
•4 = 64
3

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

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

10. Evaluate the following
expressions with exponents
• 4.) 2x 3
and (2x) when x = 4
3
•2(4 ) and (2•4)
3 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?