# EVALUATING EXPRESSIONS WITH NEGATIVE EXPONENTS PRACTICE

## Simplify the following expressions

1)  5-2

2)  25-1/2

3)  (16/25)-3/2

4)  (4y)-2

5)  (27b)1/3 / (9b)-1/2

6)  b-1/2 = 4, what is the value of b ?

7)  (2m)-6 = 16, what is the value of 23 x m ?

8)  If 4n = 20, then what is the value of 4-n ?

9)  If a-1/2 = 3, what is the value of a ?

10)  If 3x = 10, what is the value of 3x-3 ?

Solution

 1)  1/252)  1/53)  125/644)  1/16y25)   9 b5/6 6)  b = 1/167)  16/38)  4-n = 1/209)  a = 1/910)  10/27

## Evaluate the following expressions

1)  yx1/3 ⋅ xy3/2

2)  4v2/3 ⋅ v-1

3)  (a1/2 b1/2)-1

4)  (x0y1/3)3/2 x0

5)  (2x1/2y1/3)/(2x4/3y-7/4)

6)  u-5/4v (u3/2)-3/2

7)  uv ⋅ u ⋅ (v3/2)3

8)  (2x-2y5/3)/x-5/4y-5/3 ⋅ xy1/2

9)  (a3/4b-1 ⋅ b7/4)/3b-1

10)  (3y-5/4)/y-1 ⋅ 2y-1/3

Solution

 1)  x4/3 ⋅ y5/22)  (4)/v1/33)  1/(a1/2 b1/2)4)  y1/25)   y25/12/x5/6 6)   v2/u7/27)  u2 ⋅ v11/28)  (2y17/6)/x7/49)  (a3/4b7/4)/310)  (3y1/12)/2

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