104 algebra De mystif ieD

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

still struggling

be careful, in expressions such as (2x)–1 the exponent “ –1” applies to 2x, but in

2 x –1 the exponent “–1” applies only to x:

()2^1

2

x^1

x

−= (^) and (^22) xx 112 12
xx
−−=⋅ =⋅=

?

PRACTICE

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

exponent.

1. 6−1^ =


2. (x^2 y)−1^ =
   3.^5
   8

^1







=

−

4. (x^3 )−1 =


5. x
   x

2

− 1 =

6. x^4 x−^3 =


7. x^8 x−11^ =


8. (x−4)^2 =


9. y
   y

−

− =

7

2

10. x
    x

−

=

5

3

11. ()12x−= 5 −^2


12. (6x)−1 =


13. ()
    ()

32

32

4

1

x

x

−

−

− =

PRACTICE

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

exponent.

PRACTICE

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