QUOITENT AND ZERO QUOITENT AND ZERO PROPERTIES OF PROPERTIES OF

EXPONENTSEXPONENTSSeptember 19, 2012September 19, 2012

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

3

Property: Zero Power

• Any number, besides zero, to the zero power is 1.

• Example:

• Example:

10 a

140

4

Division Properties of Exponents

•Quotient of Powers Property

•Power of a Quotient Property

Dividing with Exponents

3

5

44

44444444 44

354 24

6

Quotient of Powers Property

• To divide powers that have the same base, subtract the exponents. KEEP THE BASE!!!

• Example: 235

3

5

1xx

xx

7

Practice Quotient of Powers Property

I DO:1. Try:

2. Try:

3

9

aa

4

12

yy

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

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

10

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

WE DO:

11

3

54 342

32

mnnm

12

Simplify Expressions: YOU DO

5

4

22

3

x

zx5

yx

• 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.