Download Multiplying and Dividing Monomials

NAME ______________________________________________ DATE
4-6
____________ PERIOD _____
Multiplying and Dividing
Monomials (Pages 175–179)
You can multiply and divide numbers with exponents (or powers) if they have
the same base.
Multiplying and
Dividing Powers
•
•
To find the product of powers that have the same base, add their exponents. am an amn
To find the quotient of powers that have the same base, subtract their exponents.
am an amn
Examples
b8
b. Find 2.
a. Find 25 23.
b
Follow the pattern of am an amn. Notice that
both factors have the same base, 2. Therefore 2 is
also the base of the answer.
Follow the pattern of a m a n amn. Notice that
both factors have the same base, b. Therefore the
base of the answer is also b.
25 23 25 3 or 28
b8
b82 or b6
b2
Try These Together
910
2. Find 6 . Express your answer in
1. Find x x3. Express your answer in
exponential form.
9
exponential form.
HINT: x x 1
HINT: The answer will have a base of 9.
Practice
Find each product or quotient. Express your answer in exponential form.
3. m4 m3
4. ( p12q5)( p3q3 )
5. (2y7 )(5y2 )
7. 86 82
157
8. 2
9. n18 n9
r 50
11. r
15
9m11
12. 5
3m
12t4
13. 3
4t
6. (12x7 )(x11)
x3y10
x y
10. 3 4
14. (x8 x7) x3
Find each missing exponent.
15. ( y? )( y4) y10
2015
5
16. ? 20
20
17. History The Italian mathematician Pietro Cataldi, born in 1548, wrote
exponents differently from the way they are written today. For example,
he wrote 52 for 5x2 and 53 for 5x3. How do you think he would have
written the answer to 6x3 x 4?
18. Standardized Test Practice Simplify the expression p6q 4r10 p2qr 5.
A p8q5r15
B p3q 4r2
C p8q 4r15
D p4q3r5
|
7. 84 8. 155 9. n 9 10. y 6 11. r 49
12. 3m6 13. 3t 14. x12
Glencoe/McGraw-Hill
29
Answers: 1. x 4 2. 94 3. m7 4. p15q8 5. 10y 9 6. 12x18
15. 6 16. 10 17. 67 18. A
©
Glencoe Pre-Algebra