8 1 zero and negative exponents-modified
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Transcript of 8 1 zero and negative exponents-modified
8-1 Zero and Negative Exponents & 8-3 Multiplication Properties of Exponents
Day 38
Objective: 1.01
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 =
Notes
Exponents
2x3
2 is the coefficient,
x is the base and
3 is the exponent
Zero as an Exponent
a0 = 1
Negative Exponent
a-1 =
a
1
Examples: Simplify
1) 3-4
2) (-4)-3
3) -3-2
4) ½ -3
5) (-5)0
6) 3ab-2
7)
8)
x3
1
yx5
6
Examples
Evaluate if n = -2 and w = 5.
nw4
0
9) n-3w0 11)
10) 12)
wn
2
1
nw2
1
Multiplying Powers with the SAME BASE 23 . 24 =
WRITE IT OUT 4 . 43 . 42 = IN EXPANDED
FORM!
Notes
Multiplying Powers of the Same Base
am • an = am+n
Examples
Rewrite using each base only once.
13) 53 x 56
14) 24 x 2-3
15) 7-3 x 72 x 76
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