1. Apply Exponent Properties Involving Quotients
Section 8-2
Apply Exponent Properties Involving Quotients

2. Quotient of Powers Property
● To divide powers having the same base, SUBTRACT the exponents.
Example: 47 = = 45 42
Power of a Quotient Property
● To find a power of a quotient, find the power of the numerator and the power of the denominator and divide.
Example: = 37

3. Division of Powers:
Can think of division of powers as the following if confused: a5 a3
a• a •a •a •a
a • a • a = = a2

4. Example 1 Use the quotient of powers property: 912 = 95 (-2)4 = (-2)3
912 = 95
(-2)4 =
(-2)3
63 • 64 = 62
1 • r8 = r5 = 97
(-2)4 - 3 =
(-2)1 = -2 = 62
67 = 62 = 65 r3
r8 = r5
r8-5 = 1

5. Example 2 Use the power of a quotient property: c 6 = d 2. -2 4 = y c6= y c6 d6
(-2)4 = y4 16 y4

6. Example 3 Use properties of exponents: 3a4 3= 5b 2. x3 7 • 1 = y 3x8

7. Homework
Section 8-2
Page 498 – 499
4,6,9,10,12,13,16,17,
22,24, 27, 30, 33, 35,36, 43