Let’s solve each problem one by one.
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1. 0¹¹² + (-1)⁸ = ?
- 0 to any positive power is 0 → 0¹¹² = 0
- (-1) to an even power is 1 → (-1)⁸ = 1
- So: 0 + 1 =
1
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2. (374)⁰ + 0²¹² = ?
- Any non-zero number to the 0 power is 1 → (374)⁰ = 1
- 0 to any positive power is 0 → 0²¹² = 0
- So: 1 + 0 =
1
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3. 2⁸ + (-11)² = ?
- 2⁸ = 256
- (-11)² = 121 (negative times negative = positive)
- So: 256 + 121 =
377
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4. 6² × (-3)² = ?
- 6² = 36
- (-3)² = 9
- So: 36 × 9 =
324
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5. 12² + (-1)⁴⁰¹ = ?
- 12² = 144
- (-1) to an odd power is -1 → (-1)⁴⁰¹ = -1
- So: 144 + (-1) = 144 - 1 =
143
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6. 0¹²³ + (-8)² = ?
- 0¹²³ = 0
- (-8)² = 64
- So: 0 + 64 =
64
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7. 13² + 1¹⁶ = ?
- 13² = 169
- 1 to any power is 1 → 1¹⁶ = 1
- So: 169 + 1 =
170
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8. 10² - 10¹ = ?
- 10² = 100
- 10¹ = 10
- So: 100 - 10 =
90
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9. 3³ + 11² = ?
- 3³ = 27
- 11² = 121
- So: 27 + 121 =
148
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10. 4¹ ÷ 2² = ?
- 4¹ = 4
- 2² = 4
- So: 4 ÷ 4 =
1
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11. 9² ÷ (-1)² = ?
- 9² = 81
- (-1)² = 1
- So: 81 ÷ 1 =
81
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12. (-2)⁴ + 3³ = ?
- (-2)⁴ = 16 (even power → positive)
- 3³ = 27
- So: 16 + 27 =
43
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13. 0¹² - (-8)¹ = ?
- 0¹² = 0
- (-8)¹ = -8
- So: 0 - (-8) = 0 + 8 =
8
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14. 5³ × 2² = ?
- 5³ = 125
- 2² = 4
- So: 125 × 4 =
500
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15. 0² × (-7)² = ?
- 0² = 0
- Anything multiplied by 0 is 0 → so answer is
0
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16. 1⁵ × (-151)¹ = ?
- 1⁵ = 1
- (-151)¹ = -151
- So: 1 × (-151) =
-151
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17. 3⁴ + 2¹ = ?
- 3⁴ = 81
- 2¹ = 2
- So: 81 + 2 =
83
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18. 8² - 4³ = ?
- 8² = 64
- 4³ = 64
- So: 64 - 64 =
0
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19. 2⁵ × 2⁸ = ?
- When multiplying same base, add exponents: 2^(5+8) = 2¹³
- 2¹³ = 8192
- So:
8192
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20. 15¹ + 3⁴ = ?
- 15¹ = 15
- 3⁴ = 81
- So: 15 + 81 =
96
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Final Answer:
1. 1
2. 1
3. 377
4. 324
5. 143
6. 64
7. 170
8. 90
9. 148
10. 1
11. 81
12. 43
13. 8
14. 500
15. 0
16. -151
17. 83
18. 0
19. 8192
20. 96
Parent Tip: Review the logic above to help your child master the concept of negative exponent worksheet.
