Documents
Resources
Learning Center
Upload
Plans & pricing Sign in
Sign Out

Review of Properties of Exponents

VIEWS: 16 PAGES: 10

									      Review of
Properties of Exponents
Properties of Exponents
      Assume throughout your work that no
      denominator is equal to zero and that m and
      n are positive integers.

a 0  = 1, a  0      a =                     n      a n
          1               bn
 a -n =              b
         a n
 a m  an = am+n
 a m
                 (a m)n = amn
   n =a
          m-n
 a
(ab)  n = anbn
         Examples:

(7a 2)(-2a-5)        =
   (7-2)(a 2a-5)           =

  Group(-14)(a-3)        =
Coefficients   -14
  and like                 Apply
 variables.    a 3
                         properties.
        Examples:

 (-2x-1y2)3   =
    (-2)3(x-1)3(y2)3   =
       (-8)(x-3)(y6)    =
  Share the -8y6
outside power. 3     Apply
            x      properties.
          Examples:
   2ab   5c2
             =
    a 3bc2
         a b   5 c2
   (2) 3             =
         a b c     2

  Group  (2)(a -2)(b4)(c0) =
Coefficients
  and like
             2b 4
                      Apply
 variables. a
               2    properties.
Simplify each expression. Use only
positive exponents.

   (3a 2)(4a6)        = 12a 8

   (-4x2)(-2x-2) =8
   (4x3y5)2 = 16x6y10

   (s2t)3(st)     =   s
                      7t4

    (-6m 2n2)(3mn)= -18m3n3
Simplify each expression. Use only
positive exponents.
     8a 5
          = 4a3
     2a 2

    6x 7y5
              
            = 2x8y5
      3x-1

    (4x 2)0      1
     2xy  5 = 2xy5
Simplify each expression. Use only
positive exponents.
                     8y  12
   (2x    -5y4)3 =

          2 2 9x4
                      x15
      3x
             = 4
    2
                  1
  (3x4y5)-3=
               27x 12y15
  (2r-1s2t0)-2       r
                =5
      2rs          8s
Simplify each expression. Use only
positive exponents.
            1
  (p 2)-2=
           p 4
  (h 4k5)0= 1  6 4
                 xy
  (3x -3y-2)-2 =
                  9
  x 5(2x)3 = 8x8

  -15x 4
        = -5x3
   3x
Simplify each expression. Use only
positive exponents.
     4x 3
            = 2x2
     2x
    r2s3t4 t8
           =
     2s4t-4 s
   r
   (12x 2y6)2

      8x
               
         4y7 = 18y
                  5

								
To top