Download LAWS OF EXPONENTS Name: Mixed Review Multiplication Rule

LAWS OF EXPONENTS
Mixed Review
Name: ___________________________
Multiplication Rule:
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Power Rule:
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Quotient Rule:
Part I: Find the value of the missing exponent.
1.)
?
3.)
?
5.)
=
?
=
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2.)
_______
4.)
_______
6.)
?
?
?
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=
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=
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Part II. Simplify each expression.
1.)
3.)
5.)
3
2
2.)
5
3
4
4.)
6.)
⁷
Part III. Read each problem carefully and answer the question. SHOW YOUR WORK!
1.) The area of a rectangle can be represented by the expression24
8
, find the width of the rectangle.
2.) If
, then what expression is equivalent to
. If the length is
?
3.) The volume of a cube can be found using the formula
, where s is the length of
, what is the volume?
the sides. If a cube has a side length of 2
4.) An interior designer is laying tile in a rectangular room that is
feet long and
feet
wide. Write an expression for the number of tiles needed to cover the floor of the room.
, a width of 2
and a height of 5
5.) A rectangular prism has a length of 4
What expression can be used to represent the volume of the rectangular prism?
.
represent a sequence of numbers in a code. By what number
6.) The terms 3 , 9 , 27
is each term being multiplied to find the next term?
7.) The volume of a rectangular prism can be represented by the expression 48
. If
the length is 6 and the width is 4 , what is the height of the rectangular prism?