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Monomials Interactive
In Algebra County
There are 10 problems to work.
Keep track of how many you get
correct the first time.
If you miss the problem,
correct it later.
#1.
(4 x y )
2
4 3
Write your answer on your paper
(4) ( x y )
3
2
4 3
For the number part: (-4)(-4)(-4)
For the variable part, multiply exponents.
ANSWER:
64x y
6
12
# 2.
4
2
Write your answer on your paper
Put the term with a negative exponent in the denominator
of the fraction and make the exponent positive.
1
2
4
ANSWER:
1
16
#3.
12
0
Write your answer on your paper
Anything to the zero power is 1.
ANSWER:
1
# 4.
 x(5 x )
3
Write your answer on your paper
Multiply the numbers: (-1)(5) = -5.
Multiply the variables by adding exponents.
ANSWER:
5x
4
#5.
4
16 x
7
24 x
Write your answer on your paper
Reduce the numbers by
dividing by 8.
Cancel the variables.
ANSWER:
2
3
3x
2 4
16 x
7
24 x3
3x
#6. (3xy) (4 x y )
3
2
3 2
Write your answer on your paper
Do the powers first,
multiplying exponents.
3
3
4
6
(27 x y )(16 x y )
Multiply, adding
exponents.
ANSWER:
7
432x y
9
#7.
5
3
3 1
x y
y y
3 1  3 5
x y
xx
Write your answer on your paper
Move the variables with negative exponents into the other
part of the fraction, and change the exponents to positive
numbers.
Simplify
4
ANSWER:
y
8
x
#8.
2
5 2
(3x y )
13
18 xy
3
4 10
x
9x y

13
18 xy 3
2 y
Write your answer on your paper
Do the power in the numerator; multiply exponents.
Cancel (reduce).
3
ANSWER:
x
3
2y
#9.
7 xy (3x y )
4
2
5
Write your answer on your paper
Multiply the numbers. Multiply the variables by adding
exponents.
ANSWER:
21x y
3
9
#10.
3
4 x
0
Write your answer on your paper
Anything to the zero power is 1.
Put the number with the negative exponent in the
denominator and change the exponent to a positive.
1
3
4
Simplify.
ANSWER:
1
64
Write your score
(the number you got
correct the first time)
at the top of the paper
and turn it in.
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