Math worksheet focusing on arithmetic operations with negative exponents, designed for educational practice.

Let’s solve each problem step by step. We’ll go row by row, left column first, then right column.

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Left Column:

1. 5 + 6 =
Simple addition: 5 + 6 = 11

2. 4^(-2) + 3 =
Negative exponent means reciprocal:
4^(-2) = 1 / (4²) = 1/16
Then: 1/16 + 3 = 3 + 1/16 = 3 1/16 or 49/16

3. 6^(-2) + (-9) =
6^(-2) = 1/(6²) = 1/36
Then: 1/36 - 9 = -8 and 35/36 → -8 35/36 or -323/36

4. (-9)^2 - (-7) =
(-9)² = 81 (negative times negative is positive)
Minus a negative is plus: 81 + 7 = 88

5. 6^(-1) + 5 =
6^(-1) = 1/6
1/6 + 5 = 5 1/6 or 31/6

6. 4^(-1) - (-2) =
4^(-1) = 1/4
Minus negative 2 is plus 2: 1/4 + 2 = 2 1/4 or 9/4

7. 8^(-1) - 9 =
8^(-1) = 1/8
1/8 - 9 = -8 and 7/8 → -8 7/8 or -71/8

8. 10^(-1) + (-5) =
10^(-1) = 1/10
1/10 - 5 = -4 and 9/10 → -4 9/10 or -49/10

9. 5^(-1) + 7 =
5^(-1) = 1/5
1/5 + 7 = 7 1/5 or 36/5

10. (-9)^(-1) + 5 =
(-9)^(-1) = 1/(-9) = -1/9
-1/9 + 5 = 4 and 8/9 → 4 8/9 or 44/9

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Right Column:

11. 3⁰ + 6 =
Any number to the 0 power is 1 → 1 + 6 = 7

12. 8^(-1) + 9 =
8^(-1) = 1/8
1/8 + 9 = 9 1/8 or 73/8

13. (-2)^(-1) - 1 =
(-2)^(-1) = 1/(-2) = -1/2
-1/2 - 1 = -1 1/2 → -3/2

14. 6^(-1) - (-7) =
6^(-1) = 1/6
Minus negative 7 is plus 7: 1/6 + 7 = 7 1/6 or 43/6

15. (-6)^2 + (-7) =
(-6)² = 36
36 + (-7) = 36 - 7 = 29

16. 3 + 7 =
Simple: 10

17. (-10)^(-1) - 5 =
(-10)^(-1) = -1/10
-1/10 - 5 = -5 1/10 → -51/10

18. (-10)^2 - 2 =
(-10)² = 100
100 - 2 = 98

19. (-3) - 5 =
-3 - 5 = -8

20. (-7) - (-7) =
Minus negative 7 is plus 7: -7 + 7 = 0

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Now let’s write all answers in order as they appear on the worksheet (left column top to bottom, then right column top to bottom):

Final Answer:
11
49/16
-323/36
88
31/6
9/4
-71/8
-49/10
36/5
44/9
7
73/8
-3/2
43/6
29
10
-51/10
98
-8
0