1. Using the Quotient of Powers Property
EXAMPLE 3
Using the Quotient of Powers Property
Simplify the expression. Write your answer as a power.
x12 x7 a. =
x12 – 7
Quotient of powers property
= x5
Subtract exponents. b. 97 93 =
97 – 3
Quotient of powers property
= 94
Subtract exponents.

2. Simplifying Fractions with Powers
EXAMPLE 4
Simplifying Fractions with Powers
Simplify the expression. a.
y4 y y3 = y5 y3
Simplify numerator using product of powers property.
= y5 – 3
Quotient of powers property.
= y2
Subtract exponents. b.
xy4 y3 =
xy4 – 3
Quotient of powers property.
= xy
Subtract exponents.

3. GUIDED PRACTICE
for Examples 3 and 4
Simplify the expression. Write your answer as a power. 9. a6 a4
= a2
10.
109
106
= 103

4. GUIDED PRACTICE
for Examples 3 and 4
Simplify the expression. Write your answer as a power.
11.
q3 q5 q4
= q4

5. GUIDED PRACTICE
for Examples 3 and 4
Simplify the expression. Write your answer as a power.
12.
a2b8 b2
= a2b6