1. 8-1 Zero and Negative Exponents
& 8-3 Multiplication Properties
of Exponents
Day 38
Objective: 1.01

2. Investigation:
 23 = 2 . 2 . 2 = Do you see a
 22 = 2 . 2 = pattern?
 21 = 2 Keep it going!
 20 =
 2-1 =
 2-2 =
 2-3 =

3. Notes
Exponents Zero as an Exponent
a0 = 1
2x3
Negative Exponent
2 is the coefficient, a-1 =
x is the base and
1
3 is the exponent
a

4. Examples: Simplify
n 3-4 5) (-5)0
n (-4)-3 6) 3ab-2
n -3-2 7) 1
−3
x
n ½ -3 8) −6
5x
y

5. Examples
Evaluate if n = -2 and w = 5.
−1
9) n-3w0 11) n 2
w
0
10) w 12) 1
−2
4
n nw

6. Multiplying Powers with the SAME BASE
 23 . 24 =
WRITE IT OUT
 4 . 43 . 42 = IN EXPANDED
FORM!

7. Notes
Multiplying Powers of the Same Base
am • an = am+n

8. Examples
Rewrite using each base only once.
13) 53 x 56
14) 24 x 2-3
15) 7-3 x 72 x 76

9. Examples
Simplify
16) a • a5 19) a • b • a5
17) n2 • n3 • 7n 20) 2y3 • 7x2 • 2y4
18) 6y2 • 3y3 • 2y-4 21) m2 • n-2 • 7m