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Properties of Exponents

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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  1. Properties of Exponents August 27th, 2013

  2. 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

  3. Product of Powers Property • When multiplying two of the same bases, add the exponents. • = • 16 64 = 1024 • = 1024 • = • (xxx x x x) (x x)

  4. Power to a Power Property • When you have a power raided to another power, multiply the exponents. • = • =

  5. Power of a Product Property • You can “distribute” an exponent to other exponents. • = • =

  6. Try these…

  7. Multi-step Problems

  8. Quotient of Powers Property • When dividing two of the same bases, subtract the exponents.

  9. Power of a Quotient Property • You can “distribute” an exponent to all the other exponents in a fraction.

  10. Negative Power of a Quotient Property • If a fraction is raised to a negative exponent, flip the fraction and make the exponent positive. • =

  11. Try these…

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