Multiplying Monomials
Directions: Multiply the following Monomials
1) (5x3)(4x4)
2) (–6xy4)(3xy5)
6) (–
5) (2.5x2y9z6)(2.5x2y9z6)
8) (
)(
) ( )(
3) (7x6yz2)(–2xyz)
)
)(
)
)(
9) (
4) (– 12a9b4c4)(– 10a4b2c8)
7) (
)(
)
)
Make sure you are reading carefully
10) (5x4y2)2
11) (
)
12) (3x2y3)(4x4y) – (10x6y4)
For questions 13 & 14, you need to determine if the statement is true. Note that in math, if a statement is
true, it is always true. You may wish to substitute numbers in for the variables to test the statement. If you
are going to substitute a 1 or a 0 in be careful, their results can sometimes fool you.
13) For all real numbers a and b, and an integer m, is (
example of how it is not true.
)
14) For all real numbers a and b, and an integer m, is ( ) =
true? If false, show one
true? If false, show one example of how
it is not true.
15) For all real numbers a, and integers m and n, is am * an = am+n. If false, show one example of how it is
not true.
Key
1) 20x7
6)
x15y7
12) 2x6y4
2) – 18x2y9
3) – 14x7y2z3
7) x13y18
8) abc
4) 120a13b6c12
9) – 6a6b9c3
5) 6.25x4y18z12
10) 25x8y4
13) False: let a = 5 and b = 4 and m = 2….(5+4)2 = 81 while 52 + 42 = 41
14) False: b cannot equal zero, there is no definition for dividing by 0.
15) TRUE
11)