QUOITENT AND ZERO PROPERTIES OF EXPONENTS September 19, 2012.
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Transcript of QUOITENT AND ZERO PROPERTIES OF EXPONENTS September 19, 2012.
![Page 1: QUOITENT AND ZERO PROPERTIES OF EXPONENTS September 19, 2012.](https://reader036.fdocuments.us/reader036/viewer/2022081521/5a4d1b287f8b9ab059998039/html5/thumbnails/1.jpg)
QUOITENT AND ZERO QUOITENT AND ZERO PROPERTIES OF PROPERTIES OF
EXPONENTSEXPONENTSSeptember 19, 2012September 19, 2012
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When the numerator and denominator have the same base and exponent, subtracting the exponents results in a 0 exponent.
This result can be confirmed by writing out the factors.
1 = 42
42 42 – 2 = 40 = 1=
=(4 • 4)(4 • 4) = 11
1 =42
2= (4 • 4)
4 (4 • 4)
Property: Zero Power
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3
Property: Zero Power
• Any number, besides zero, to the zero power is 1.
• Example:
• Example:
10 a
140
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Division Properties of Exponents
•Quotient of Powers Property
•Power of a Quotient Property
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Dividing with Exponents
3
5
44
44444444 44
354 24
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Quotient of Powers Property
• To divide powers that have the same base, subtract the exponents. KEEP THE BASE!!!
• Example: 235
3
5
1xx
xx
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Practice Quotient of Powers Property
I DO:1. Try:
2. Try:
3
9
aa
4
12
yy
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Subtract exponents.7275 – 3
75
73
WE DODividing Powers with the Same Base
Divide. Write the quotient as one power.A.
x10
x9B.
Subtract exponents.x10 – 9
x Think: x = x1
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Subtract exponents.9799 – 2
99
92
YOU DO: Dividing powers with the SAME base
Divide. Write the quotient as one power.
A.
B. e10
e5
Subtract exponents.e10 – 5
e5
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Power of a Quotient Property
• To find a power of a quotient, distribute the power to numerator and denominator.
• Example: I DO
3
.baa
2
83.uyb
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WE DO:
11
3
54 342
32
mnnm
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12
Simplify Expressions: YOU DO
5
4
22
3
x
zx5
yx
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• Partner A:• Partner B: without the green dot
Task: 1.Partner A will coach (talk) while Partner B will write
down the game plan for each problem.Switch Role: odd problems: 2. Partner B will coach (talk) while Partner A will write
down the game plan for each problem.