EXAMPLE 2 Use the power of quotient property
x3
y3 = a. xy
3
(– 7)2
x2=b. 7
x –
2 – 7 x
2= 49
x2=
EXAMPLE 3 Use properties of exponents
Power of a quotient property
Power of a product property
= 64x6
125y3Power of a power property
Power of a quotient property
Power of a power propertya10
b5= 12a2
a10
2a2b5= Multiply fractions.
= 43 (x2)3
53y3
b. a2
b 12a2
5
Quotient of powers propertya8
2b5=
(4x2)3
(5y)3=a. 4x2
5y3
(a2)5
b512a2=
GUIDED PRACTICE for Examples 2 and 3
Simplify the expression.
= x4
16y2
a2
b2=5. ab
2
125 y3–=6. 5
y –
3
7. x2
4y2
8. 3t
2s 3 t5
16s3 t2
54=
Top Related