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Mastering Exponents: Division Properties, Rules, and Practice

Learn how to use the division properties of exponents to evaluate powers and simplify expressions. Focus on constructing, comparing, and interpreting linear and exponential function models to solve problems effectively. Practice applying the rules for division and exponent manipulation to enhance your mathematical skills. Try the Challenge Problem to test your understanding.

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Mastering Exponents: Division Properties, Rules, and Practice

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  1. 8.3 Division Properties of Exponents Learn to use the division properties of exponents to evaluate powers and simplify expressions.

  2. Focus 8 Learning Goal –(HS.N-RN.A.1 & 2, HS.A-SSE.B.3, HS.A-CED.A.2, HS.F-IF.B.4, HS.F-IF.C.8 & 9, and HS.F-LE.A.1)= Students will construct, compare and interpret linear and exponential function models and solve problems in context with each model.

  3. 25 23 = 22222 222 Reduce =22 = 4

  4. am an Rules for Division Let a and b any real number, and m and n be integers. Quotient of Powers Property: Subtract n from m (a0) = am-n

  5. m a am b bm Rules for Division Power of Quotient Property: Distribute power across the ( ). = *Remember: a negative exponent means to rewrite its reciprocal!!

  6. 2 37 828 2 34 85 3 Practice 1. 2. 3. = 33 = 27 = 1 64 = 8-2 = 1 82 = 83 85 = 22 32 = 4 9

  7. -32x4y2 16x3y∙ -2xy -8x4y2 -8x2 4x2y3 -4xy3 -x x2y3 y Try the Challenge Problem Multiply straight across to make one fraction. Divide whole numbers Subtract exponents and make sure all exponents in your answer are positive.

  8. Review all of the rules for exponents: http://safeshare.tv/w/LzzdFknWAc Super Base!

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