NEGATIVE INDEX LAW WORKSHEET

Simplify the following and give answer in simplest rational form :

1)  4-1

2)  9-2

3)  3-3

4)  10-5

5)  (1/2)-1

6)  (2/3)-2

7)  (1  3/4)-2

8)  20 + 2-1

9) 30 + 31 - 3-1

10)  2a-1

11)  (5c)-2

12)  2(ab)-1

13)  2ab-1

14)  (3n-2)-1

Solution

Answer Key

1)  1/4

2)  1/81

3)  1/27

4)  1/100000

5)  2

6)  9/4

7)  16/49

8)  3/2

9)  11/3

10)  2/a

11)  1/25c2

12)  2/ab

13)  2a/b

14)  n2 / 3

Evaluate the following without using calculator.

(1) 5-2                   Solution

(2) 25-1/2                  Solution

(3) (16/25)-3/2                Solution

(4) (4y)-2             Solution

(5) (27b)1/3 / (9b)-1/2             Solution

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

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

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

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

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

Answer Key

(1) 1/25

(2) 1/5

(3) 125/64

(4) 1/16y2

(5) 9 b5/6

(6) b = 1/16

(7) 16/3

(8) 4-n = 1/20

(9) a = 1/9

(10) 10/27

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