Properties of Exponents

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Properties of Exponents. August 27 th , 2013. Exponential Expressions in Expanded Form. Write Each Expression in expanded form. The base is 4y, and the exponent is 3. 4y is a factor 3 times. -(a a) = - 2 2. Product of Powers Property.

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Properties of Exponents

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Properties of Exponents

August 27th, 2013

Exponential Expressions in Expanded Form

Write Each Expression in expanded form

The base is 4y, and the exponent is 3.

4y is a factor 3 times.

• -(a a) = -
• 2
• 2
Product of Powers Property
• When multiplying two of the same bases, add the exponents.
• =
• 16 64 = 1024
• = 1024
• =
• (xxx x x x) (x x)
Power to a Power Property
• When you have a power raided to another power, multiply the exponents.
• =
• =
Power of a Product Property
• You can “distribute” an exponent to other exponents.
• =
• =
Quotient of Powers Property
• When dividing two of the same bases, subtract the exponents.
Power of a Quotient Property
• You can “distribute” an exponent to all the other exponents in a fraction.
Negative Power of a Quotient Property
• If a fraction is raised to a negative exponent, flip the fraction and make the exponent positive.
• =