Simplifying Exponents

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Simplifying Exponents

• How do I know when it is simplified???
• Only one of each base
• Constants simplified
• NO negative or zero exponents

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Lets start by reviewing exponents

• Identify the exponent below

It tells you how many times to multiply a base by
itself.
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We use exponents to save space.

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Now try this one


How many xs are there?
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Exponent Rules
Action Rule Example
Multiply Two Powers ADD the exponents x5x7 x12
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What does this mean?
This means that we are taking x cubed to the
second power (multiplying it by itself twice)
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So let's take a closer look!



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Exponent Rules
Action Rule Example
Multiply Two Powers ADD the exponents x5x7 x12
Power to a power MULTIPLY the exponents (x3yz4)5 x15y5z20
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Example 1
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Exponent Rules
Action Rule Example
Multiply Two Powers ADD the exponents x5x7 x12
Raise power to a power MULTIPLY the exponents (x3yz4)5 x15y5z20
Divide Two Powers SUBTRACT the exponents
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EXAMPLE 1
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Exponent Rules
Action Rule Example
Zero Power 1 x0 1x3y0x3
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So that means
1

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So that means
1

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QUESTION What happens when a zero exponent is
embedded in an exponent expression?
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EXAMPLE
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NEGATIVE EXPONENTS
OK. TOO EASY FOR YOU. BUT CAN YOU HANDLE
NEGATIVE EXPONENTS?
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Exponent Rules
Action Rule Example
Zero Power 1 x0 1x3y0x3
Negative Exponents Flip it
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EXAMPLE
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EXAMPLE
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EXAMPLE
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EXAMPLE
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EXAMPLE
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EXAMPLE
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EXAMPLE