Division properties of exponents by hcj

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									8.4 Division Properties of
       Exponents
 Goal: Use division properties of
           exponents.
     A negative exponent is an inverse!
          x = x
            -1    1

Simplify.
1)          3)              5)



2)          4)              6)
Simplify.
       1
   Factor              Negative Exponent
 Explanation              Explanation
                        2  -2    2 + -2 0
                       3 3 =3 =3 =1

                       9


                       9     = 1
For all real numbers x, except x = 0,
Simplify.
           1   1
  5
 x =                           =
   2
 x
                   1   1           1
      or
  5
 x =
 x2

       Quotient of Powers Property
                           a
                       x =
                         b
                       x
Simplify two different ways.
1)        =                    =


          =         =


2)        =          =         =


      =         =         =
Simplify.
1)          3)




2)          4)
Simplify.
1)




2)
Simplify.
3)




4)
            Power of Quotient Property
                           a
                         x
                       = a
                         y
Simplify.

 1)



 2)

								
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