Exponent Laws.

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Presentation transcript:

Exponent Laws

Definition An exponent represents repeated multiplication. n times

Be sure to use the correct terminology, power exponent base is read 4 to the exponent 6.

Multiplying Powers Example: What does this mean? Simplify This is just the repeated multiplication of 3, six times! Simplify

Exponent Law for Multiplication

Dividing Powers Example: What does this mean? = Simplify Cancel the common factors from the numerator and denominator! = Simplify

Exponent Law for Division Exponent Law for Multiplication Exponent Law for Division

Power of a Power Example: What does this mean? Simplify This is just 5 squared, three times! Simplify

Exponent Law for Multiplication Exponent Law for Division Power Law

Power of a Product Example: What does this mean? Regroup, Simplify This is just the repeated multiplication of a product! Regroup, Simplify

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

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

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

Laws of Exponents Exponent Law for Multiplication Exponent Law for Division Power of a Power Law Power of a Product Power of a Quotient