3.1 Intro to Powers

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Powers and Exponents

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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!