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7.1 Zero and Negative Exponents:

Base: A number that is multiplied repeatedly. 7.1 Zero and Negative Exponents:. Exponent: A number that shows repeated multiplication. Property: A character or attribute that something has. GOAL:. Definition:. An exponent equation has two components:. Exponent. Base.

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7.1 Zero and Negative Exponents:

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  1. Base: A number that is multiplied repeatedly. 7.1 Zero and Negative Exponents: Exponent: A number that shows repeated multiplication. Property: A character or attribute that something has.

  2. GOAL:

  3. Definition: An exponent equation has two components: Exponent Base

  4. ZERO: as an exponent PROPERTIES: For every number a, = 1 Ex: (-3)0= 1 40= 1 1000= 1 (-½) 0= 1 1,000,0000= 1

  5. YOU TRY IT: Simplify the following exponents: -1 0 (-1) 0 m0 -1/3 0

  6. SOLUTION: No matter what integer it is, anything to the power of zero is 1. -1 0 = -1 (-1) 0= 1 m 0= 1 -1/3 0= -1

  7. Negative numbers: as an exponents PROPERTIES: For every nonzero number a and integer n =

  8. In math we never like to work with negative exponents. NOTE: We must always provide answers with positive exponents. Ex:    

  9. ALSO: If negative exponents are in the denominator, we still turn them into positive. Ex: 1(9) = 9 1() 6() 6(4) =24

  10. SIMPLIFYING EXPONENTIAL EXPRESSIONS: Once again, always give answers with positive exponents only! Ex:What is the simplified form of each expression? b) a)5a3b-2 d) c)4c-3r

  11. Switch the integers that have negative to the other side. SOLUTIONS:  a)5a3b-2 b)  x5  c) 4c-3r d) 

  12. VIDEO: Get a hot chocolate and enjoy this!!!. Exponents Definition http://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-1 Negative Exponents http://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-2 Negative and Positive Exponents http://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/negative-and-positive-exponents

  13. CLASSWORK:Page 417-418: Problems: As many as needed to understand the concept

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