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Exponent Laws

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Definition An exponent represents repeated multiplication. n times

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**Be sure to use the correct terminology,**

power exponent base is read 4 to the exponent 6.

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**Multiplying Powers Example: What does this mean? Simplify**

This is just the repeated multiplication of 3, six times! Simplify

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**Exponent Law for Multiplication**

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**Dividing Powers Example: What does this mean? = Simplify**

Cancel the common factors from the numerator and denominator! = Simplify

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**Exponent Law for Division**

Exponent Law for Multiplication Exponent Law for Division

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**Power of a Power Example: What does this mean? Simplify**

This is just 5 squared, three times! Simplify

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**Exponent Law for Multiplication**

Exponent Law for Division Power Law

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**Power of a Product Example: What does this mean? Regroup, Simplify**

This is just the repeated multiplication of a product! Regroup, Simplify

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**Power of a Product Exponent Law for Multiplication**

Exponent Law for Division Power Law Power of a Product

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Power of a Quotient The same reasoning holds when dividing powers.

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**Power of a Quotient Exponent Law for Multiplication**

Exponent Law for Division Power Law Power of a Product Power of a Quotient

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**Laws of Exponents Exponent Law for Multiplication**

Exponent Law for Division Power of a Power Law Power of a Product Power of a Quotient

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