Here are the solutions to the problems on the worksheet. I have calculated each one step-by-step.
Left Column:
1.
$10^2 - (-10^3)$
* $10^2 = 100$
* $-10^3 = -(10 \times 10 \times 10) = -1000$
* Equation: $100 - (-1000) = 100 + 1000$
* Answer:
1100
2.
$8^3 - 10^2$
* $8^3 = 8 \times 8 \times 8 = 512$
* $10^2 = 100$
* Equation: $512 - 100$
* Answer:
412
3.
$12^2 + 20^2$
* $12^2 = 144$
* $20^2 = 400$
* Equation: $144 + 400$
* Answer:
544
4.
$5^3 - 10^3$
* $5^3 = 125$
* $10^3 = 1000$
* Equation: $125 - 1000$
* Answer:
-875
5.
$8^4 - (-10^3)$
* $8^4 = 8 \times 8 \times 8 \times 8 = 4096$
* $-10^3 = -1000$
* Equation: $4096 - (-1000) = 4096 + 1000$
* Answer:
5096
6.
$12^2 + 13^3$
* $12^2 = 144$
* $13^3 = 13 \times 13 \times 13 = 2197$
* Equation: $144 + 2197$
* Answer:
2341
7.
$25^2 + (-3^3)$
* $25^2 = 625$
* $-3^3 = -(3 \times 3 \times 3) = -27$
* Equation: $625 + (-27) = 625 - 27$
* Answer:
598
8.
$15^3 - 14^3$
* $15^3 = 3375$
* $14^3 = 2744$
* Equation: $3375 - 2744$
* Answer:
631
9.
$3^3 - (-30^2)$
* $3^3 = 27$
* $-30^2 = -(30 \times 30) = -900$
* Equation: $27 - (-900) = 27 + 900$
* Answer:
927
***
Right Column:
10.
$2^3 + 2^4$
* $2^3 = 8$
* $2^4 = 16$
* Equation: $8 + 16$
* Answer:
24
11.
$11^2 + (-5^3)$
* $11^2 = 121$
* $-5^3 = -(5 \times 5 \times 5) = -125$
* Equation: $121 + (-125) = 121 - 125$
* Answer:
-4
12.
$15^3 - 15^2$
* $15^3 = 3375$
* $15^2 = 225$
* Equation: $3375 - 225$
* Answer:
3150
13.
$10^2 - (-9^3)$
* $10^2 = 100$
* $-9^3 = -(9 \times 9 \times 9) = -729$
* Equation: $100 - (-729) = 100 + 729$
* Answer:
829
14.
$11^3 - 14^3$
* $11^3 = 1331$
* $14^3 = 2744$
* Equation: $1331 - 2744$
* Answer:
-1413
15.
$10^4 + 10^3$
* $10^4 = 10,000$
* $10^3 = 1,000$
* Equation: $10,000 + 1,000$
* Answer:
11,000
16.
$20^1 + 20^0$
* $20^1 = 20$
* $20^0 = 1$ (Any non-zero number to the power of 0 is 1)
* Equation: $20 + 1$
* Answer:
21
17.
$11^2 - (-11^3)$
* $11^2 = 121$
* $-11^3 = -(11 \times 11 \times 11) = -1331$
* Equation: $121 - (-1331) = 121 + 1331$
* Answer:
1452
18.
$10^0 + 10^3$
* $10^0 = 1$
* $10^3 = 1,000$
* Equation: $1 + 1,000$
* Answer:
1001
Final Answer:
Left Column:
1. 1100
2. 412
3. 544
4. -875
5. 5096
6. 2341
7. 598
8. 631
9. 927
Right Column:
10. 24
11. -4
12. 3150
13. 829
14. -1413
15. 11,000
16. 21
17. 1452
18. 1001
Parent Tip: Review the logic above to help your child master the concept of subtracting exponents worksheet.
