Properties of exponents
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Properties of Exponents PowerPoint PPT Presentation


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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.

  • =

  • =


Try these…


Multi-step Problems


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.

  • =


Try these…


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