Study Guide and Intervention (continued) - MathnMind

8-2 6-2
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Study Guide and Intervention
Dividing Monomials
Quotients of Monomials To divide two powers with the same base, subtract the
exponents.
Quotient of Powers For all integers m and n and any nonzero number a, am n .
an Power of a Quotient For any integer m and any real numbers a and b, b 0, m a
b
a
.
m
bm a
Simplify . Assume
neither a nor b is equal to zero.
4b7
ab2 Simplify 3
2a
.
Assume that b is not equal to zero.
3b5 Example 1 Example 2
3b2 a 4 b 7
ab 2
b
7 a
b2 4
Group powers with the same base.
(a4 1 )(b7 2
a
) Quotient of Powers
a3b5 The quotient is a3b5 .
Exercises
Simplify.
3 2a3b5
3b2 Simplify. Assume that no denominator is equal to zero.
xy 6
7. 8. 3
y 4 x
2v5w3
v4w3 10. 4
2a2b
a
3r6s3
2r5s 11. 4
© Glencoe/McGraw-Hill 461 Glencoe Algebra 1
a m
(2a
Power of a Quotient
3b5 ) 3
(3b2 ) 3
2
Power of a Product
3 (a3 ) 3 (b5 ) 3
(3) 3 (b2 ) 3
8a
Power of a Power
9b15
27b6 8a
Quotient of Powers
9b9
27
8a
The quotient is .
9b9
27
p
1. 2. 3.
5n4 m
p2n 6
5
m4 5
52 2y
4. 5. 6.
7
x
14y5 5y3 a
x5y2 2
a
4p4q4
3p2q2 9. 3
12. r7 s 7 t 2
s 3 r 3 t 2
Lesson 8-2