108 algebra De mystif ieD

DeMYSTiFieD / algebra DeMYSTiFieD / HuttenMuller / 000-0 / Chapter 5

1

2

2

1

8

1

8

(^33)
3





−
65
1
1
65
(^33)
3
x
x
x
x

• −
  
  
  
  
  = −


• 
  

  − ()
  ()
  1
  2
  2
  1
  3 2
  (^535)
  5
  15
  ()
  [( )] ()
  x
  x x

  
  


• 
  

  
  
  
  
  
   = + =+
  −
  (^) () ()
  [( )] ()
  x
  x
  x
  x
  x
  x

  
  


• x
  
  
  
  
  
  −  = + = + =
  7 − −−
  77
  3
  2
  (^424)
  34
  8
  12
  −− ⋅


• 
  

  =⋅

  
  


• 
  

  =

  
  


• 
  

  8
  12 8128 12
  1
  7
  11
  7
  1
  ()xxxx() ()x 7
  y
  x
  x
  y
  x
  y
  x
  y
  −
  −
  − −
  −
  −
  −
  
  
  
  
  
   ====
  3
  4
  (^646)
  36
  24
  18
  1
  1
  24
  18
  () 1
  () xxyx
  yy
  (^241824) x
  18 18
  24
  11
  1
  ÷=⋅ =
  The last expression can be simplified more quickly using Property 8
  followed by Property 3.
  y
  x
  y
  x
  y
  x
  −
  −
  − −−
  −−
  −−
  −−
  
  
  
  
  
   ==
  3
  4
  (^636)
  46
  36
  46
  ()
  ()
  ()()
  ()( ))=
  y
  x
  18
  24
  PRACTICE
  Simplify and eliminate any negative exponent.

  
  

1. (xy^3 )^2 =


2. (3x)−3 =


3. (2x)^4 =


4. (3(x − 4))^2 =


5. 6(2x)^3 =


6. 6y^2 (3y^4 )^2 =


7. (5x^2 y^4 z^6 )^2 =
   8.^42

3

y











 =

9.^2
9

3

x−









=

−

PRACTICE

Simplify and eliminate any negative exponent.

1. (

PRACTICE

Simplify and eliminate any negative exponent.