Math worksheet for practicing addition and subtraction of exponents.

To solve the problems in the worksheet, we need to evaluate each expression step by step. Let's go through each problem systematically.

Left Column:

1. \( 10^2 - (-10^3) \)
- \( 10^2 = 100 \)
- \( 10^3 = 1000 \)
- \( -(-10^3) = +1000 \)
- \( 100 + 1000 = 1100 \)
- Answer: \( 1100 \)

2. \( 8^3 - 10^2 \)
- \( 8^3 = 512 \)
- \( 10^2 = 100 \)
- \( 512 - 100 = 412 \)
- Answer: \( 412 \)

3. \( 12^2 + 20^2 \)
- \( 12^2 = 144 \)
- \( 20^2 = 400 \)
- \( 144 + 400 = 544 \)
- Answer: \( 544 \)

4. \( 5^3 - 10^3 \)
- \( 5^3 = 125 \)
- \( 10^3 = 1000 \)
- \( 125 - 1000 = -875 \)
- Answer: \( -875 \)

5. \( 8^4 - (-10^3) \)
- \( 8^4 = 4096 \)
- \( 10^3 = 1000 \)
- \( -(-10^3) = +1000 \)
- \( 4096 + 1000 = 5096 \)
- Answer: \( 5096 \)

6. \( 12^2 + 13^3 \)
- \( 12^2 = 144 \)
- \( 13^3 = 2197 \)
- \( 144 + 2197 = 2341 \)
- Answer: \( 2341 \)

7. \( 25^2 + (-3^3) \)
- \( 25^2 = 625 \)
- \( 3^3 = 27 \)
- \( -3^3 = -27 \)
- \( 625 + (-27) = 598 \)
- Answer: \( 598 \)

8. \( 15^3 - 14^3 \)
- \( 15^3 = 3375 \)
- \( 14^3 = 2744 \)
- \( 3375 - 2744 = 631 \)
- Answer: \( 631 \)

9. \( 3^3 - (-30^2) \)
- \( 3^3 = 27 \)
- \( 30^2 = 900 \)
- \( -(-30^2) = +900 \)
- \( 27 + 900 = 927 \)
- Answer: \( 927 \)

Right Column:

1. \( 2^3 + 2^4 \)
- \( 2^3 = 8 \)
- \( 2^4 = 16 \)
- \( 8 + 16 = 24 \)
- Answer: \( 24 \)

2. \( 11^2 + (-5^3) \)
- \( 11^2 = 121 \)
- \( 5^3 = 125 \)
- \( -5^3 = -125 \)
- \( 121 + (-125) = -4 \)
- Answer: \( -4 \)

3. \( 15^3 - 15^2 \)
- \( 15^3 = 3375 \)
- \( 15^2 = 225 \)
- \( 3375 - 225 = 3150 \)
- Answer: \( 3150 \)

4. \( 10^2 - (-9^3) \)
- \( 10^2 = 100 \)
- \( 9^3 = 729 \)
- \( -(-9^3) = +729 \)
- \( 100 + 729 = 829 \)
- Answer: \( 829 \)

5. \( 11^3 - 14^3 \)
- \( 11^3 = 1331 \)
- \( 14^3 = 2744 \)
- \( 1331 - 2744 = -1413 \)
- Answer: \( -1413 \)

6. \( 10^4 + 10^3 \)
- \( 10^4 = 10000 \)
- \( 10^3 = 1000 \)
- \( 10000 + 1000 = 11000 \)
- Answer: \( 11000 \)

7. \( 20^1 + 20^0 \)
- \( 20^1 = 20 \)
- \( 20^0 = 1 \)
- \( 20 + 1 = 21 \)
- Answer: \( 21 \)

8. \( 11^2 - (-11^1) \)
- \( 11^2 = 121 \)
- \( 11^1 = 11 \)
- \( -(-11^1) = +11 \)
- \( 121 + 11 = 132 \)
- Answer: \( 132 \)

9. \( 10^0 + 10^3 \)
- \( 10^0 = 1 \)
- \( 10^3 = 1000 \)
- \( 1 + 1000 = 1001 \)
- Answer: \( 1001 \)

Final Answers:

- Left Column:
1. \( 1100 \)
2. \( 412 \)
3. \( 544 \)
4. \( -875 \)
5. \( 5096 \)
6. \( 2341 \)
7. \( 598 \)
8. \( 631 \)
9. \( 927 \)

- Right Column:
1. \( 24 \)
2. \( -4 \)
3. \( 3150 \)
4. \( 829 \)
5. \( -1413 \)
6. \( 11000 \)
7. \( 21 \)
8. \( 132 \)
9. \( 1001 \)

Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Left Column:} & \text{Right Column:} \\
1100 & 24 \\
412 & -4 \\
544 & 3150 \\
-875 & 829 \\
5096 & -1413 \\
2341 & 11000 \\
598 & 21 \\
631 & 132 \\
927 & 1001 \\
\end{array}
}
\]