Fractions, Decimals, Converting Fractions, Decimals, And Percents, Ratios, Exponents Worksheet With Answers Page 20

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EXPONENETS AND MONOMIALS
Exponents:
The formula for finding a volume of a prism is v = lwh. A cube is a prism that has equal
dimensions. Let s represent the length of each edge. So, the formula for the volume of
3
3
a cube is v = s x s x s or v = s
(pronounced s cubed). The 3 in the expression s
is
called the exponent. The s is called the base. The exponent indicates the number of
times the base is listed as a factor.
When no exponent is used, as in A = lw, the exponent of each variable is understood to
be 1. If an expression contains factors that are repeated, you can rewrite the expression
using exponents.
Remember y x y, y ● y, and (y) (y) all mean multiply.
2
4
Example: 5 x 5 = 5
s ● s ● s ● s = s
2
5
1.
x
● x
2.
(y) (y)
3.
(a) (a) (a)
4.
(3) (3) (3) (3)
5.
A cube has edges 5 inches long.
6.
Write r ● r ● r ● r
What is its volume?
using an exponent.

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