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

Properties of Exponents

August 27th, 2013


Exponential expressions in expanded form

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

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

Power to a Power Property

  • When you have a power raided to another power, multiply the exponents.

  • =

  • =


Power of a product property

Power of a Product Property

  • You can “distribute” an exponent to other exponents.

  • =

  • =


Try these

Try these…


Multi step problems

Multi-step Problems


Quotient of powers property

Quotient of Powers Property

  • When dividing two of the same bases, subtract the exponents.


Power of a quotient property

Power of a Quotient Property

  • You can “distribute” an exponent to all the other exponents in a fraction.


Negative power of a quotient property

Negative Power of a Quotient Property

  • If a fraction is raised to a negative exponent, flip the fraction and make the exponent positive.

  • =


Try these1

Try these…


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