Exponential Expressions Worksheet

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Exponential Expressions
Name____________________
1. How many square units would be needed to build a square with 8-inch sides?
With 10-inch sides?
2. What would the length of the square’s side (the square root) have to be if there
were 49 square units in the area?
3.
Explain how a square root is related to the square of that root.
4.
How many cubes would be needed to build a cube with a height of 3 units?
5.
What would the height of a cube be if there were 125 cubic units in the cube?
Name the base and the exponent in each of the following exponential
expressions:
²
³
6.
4
; base
exponent
7.
5
; base
exponent ____
0
¹
8.
6
; base
exponent
9.
2
; base
exponent
Rewrite each of the following expressions as a product of factors. The first
one has been done for you.
0
³
²
¹
10.
4
= 4 x 4 x 4
11.
7
=
12.
6
=
13.
8
=

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