3.1 introduction to powers
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3.1 Intro to Powers
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Powers and Exponents
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3.1 Intro to Powers
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PowerThe result obtained by multiplying a number by itself one or more times.
103
It is an expression made up of a base and an exponent.
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34
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What is the exponent for each of the following?
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What is the base for each of the following?
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Exponential Form
A shorter way of writing repeated multiplication, using a base and an exponent
5x5x5 in exponential form is:
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Example: Write the following in exponential form and then evaluate.
a) 2x2x2x2x2
b) 4x4x4
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Example: Write out 25 as repeated multiplication. Then evaluate.
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Evaluate each power.
Powers with Positive Bases
a) 62
b) 34
c) 53
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Example: Write out -25 as repeated multiplication. Then evaluate.
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Example: Write out (-2)5 as repeated multiplication. Then evaluate.
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Evaluate each power.
Powers with Negative Bases
a) (-5)2
b) -52
c) (-6)2
d) (-6)5
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Example: Write out 81 as repeated multiplication. Then evaluate.
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Example: Write out 50 as repeated multiplication. Then evaluate.
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Remember a power is short way to
represent repeated
multiplication!
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