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Day	
  36	
  
1.  Simplify:	
  
                    12 + 27 =
                     216
                         =
                      3
2.  Quiz	
  tomorrow	
  over	
  SIMPLIFYING	
  
    SQUARE	
  ROOTS.	
  No	
  calculator!	
  
MONOMIAL	
  
Number,	
  
  Variable,	
  or	
  
  Product	
  of	
  a	
  
Number	
  &	
  Variable	
  
Product	
  of	
  Powers	
  


            m        n        m+n
         a !a = a
2     7
n !n
y(y   5
          )
x (x   2
           )( x   4
                      )
2   4
(7x )(x )
2
(2a )(8a)
3     7
(!4x )(!5x y)
Power	
  of	
  a	
  Power	
  


                 n
        ( a    m
                   )     =a     m!n
2
( y   5
       )
4
( n   7
       )
5
( x   2
       )    ( x   3
                      )
Power	
  of	
  a	
  Product	
  


                   n
                   m              m   m
       ( ab)           =a b
5
( 2
  x y   4
         )
2
(  3 2
  2a b   )( b   3
                 )
3              4
(  3 2 2
  2x y z   )   ( x z)
                 2
Day	
  37	
  
1.  Simplify:	
  

            72 =
         2 3 − 3 +5 3 =
2.  7.1	
  Worksheet	
  [Kagan]	
  
Day	
  38	
  
1.  SubsVtute	
  Day—Complete	
  worksheets.	
  
Day	
  39	
  
1.  SubsVtute	
  Day—Complete	
  worksheets.	
  
Day	
  40	
  
1.  Simplify:	
  
                    (a b ) (a b ) =
                      2 3          5 2


                             2 2
                    (9 pq ) =
                           2
                    !3 2 4   $ =
                    #(
                    "    )   &
                             %
QuoVent	
  of	
  Powers	
  

            m
        a      m!n
          n
            =a
        a
5 3
x y
   2
xy
3 5
16a b
   2 4
 2a b
Power	
  of	
  a	
  QuoVent	
  

                   m              m
      !a$  a
      # & = m
      "b%  b
3
!2p $
   2

#   &
" 3 %
3
! 4c d $
   3   2

# 4 &
" 5e f %
Zero	
  Exponent	
  



                 0
             a =1
0
! 4c d $
   3   2

# 4 &
" 5e f %
0 4
st
  2
t
NegaVve	
  Exponents	
  



         !n 1
        a = n
            a
!2
5
!3
3
!3 2
b c
   !5
 d
!3 4
a b
 4 2
ab
!2 14
30h k
     !3
 5hk

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