8.3 Division Properties of Exponents

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8.3 Division Properties of Exponents

• Learn to use the division properties of exponents
  to evaluate powers and simplify expressions.

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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.
4 3 2 1 0
In addition to level 3, students make connections to other content areas and/or contextual situations outside of math.   Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model. - Compare properties of 2 functions in different ways (algebraically, graphically, numerically in tables, verbal descriptions) - Describe whether a contextual situation has a linear pattern of change or an exponential pattern of change. Write an equation to model it. - Prove that linear functions change at the same rate over time. - Prove that exponential functions change by equal factors over time. - Describe growth or decay situations. - Use properties of exponents to simplify expressions. Students will construct, compare, and interpret linear function models and solve problems in context with the model. - Describe a situation where one quantity changes at a constant rate per unit interval as compared to another.   Students will have partial success at a 2 or 3, with help. Even with help, the student is not successful at the learning goal.
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Reduce
22 4
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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
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Rules for Division
Power of Quotient Property Distribute power
across the ( ).

Remember a negative exponent means to rewrite
its reciprocal!!
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Practice
1. 2. 3.
33
27
1 64
1 82
8-2
83 85
22 32
4 9
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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.
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Review all of the rules for exponents

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