Chapter 5 e X P O N e N T S a N D r O O T S 103

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

EXAMPLES

5 1

5

1

6

6

10

10

313

−

−

−−

=

=











 =























 =

x

x

x

y

x

y

yy

x





















=







−

3

2 44

5

5

2

We often need to use a combination of exponent properties to simplify
expressions. In the following examples our goal is to rewrite the expression
without using a negative exponent.

EXAMPLES

Use Properties 1–6 to rewrite the expression without a negative

exponent.

()xx

x

62 12

12

−−==^1

xxxx

x

−− (^76) ⋅= 76 +−== 1 1
y
y
yyy
3
2
32 32 5
−
==−−() + =
x
x
xx
x
− −− −

4
2
42 6
6
1
(^) ()
()
10 3 1
10 3
2
x−=x− 2
−
x
x
x
x

• −
  
  
  
  
  = −


• 
  

  1 −
  23
  23
  1
  1
  EXAMPLES EXAMPLES
  EXAMPLES
  Use Properties 1–6 to rewrite the expression without a negative
  exponent.
  EXAMPLES
  Use Properties 1–6 to rewrite the expression without a negative