Let’s go through each problem one by one. We’ll calculate each expression step by step, being careful with negative numbers and exponents.
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1. (-4)² + (-2)³
- (-4)² = (-4) × (-4) = 16
- (-2)³ = (-2) × (-2) × (-2) = 4 × (-2) = -8
- So, 16 + (-8) = 16 - 8 =
8
✔ Answer: 8
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2. 0⁸⁸ - (-1)¹⁹
- 0⁸⁸ = 0 (any positive power of 0 is 0)
- (-1)¹⁹ = -1 (odd power of -1 is -1)
- So, 0 - (-1) = 0 + 1 =
1
✔ Answer: 1
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3. (-1)⁵ × 0²⁴
- (-1)⁵ = -1 (odd power)
- 0²⁴ = 0
- So, -1 × 0 =
0
✔ Answer: 0
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4. (-2)³ - 8²
- (-2)³ = -8
- 8² = 64
- So, -8 - 64 =
-72
✔ Answer: -72
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5. 1²²⁰ + (-1)¹⁰⁰
- 1²²⁰ = 1 (any power of 1 is 1)
- (-1)¹⁰⁰ = 1 (even power)
- So, 1 + 1 =
2
✔ Answer: 2
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6. (-16)² × 99⁰
- (-16)² = 256
- 99⁰ = 1 (any non-zero number to the power 0 is 1)
- So, 256 × 1 =
256
✔ Answer: 256
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7. 2² × (-3)³
- 2² = 4
- (-3)³ = -27
- So, 4 × (-27) =
-108
✔ Answer: -108
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8. (-8)² + (-2)³
- (-8)² = 64
- (-2)³ = -8
- So, 64 + (-8) = 64 - 8 =
56
✔ Answer: 56
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9. 1³ × (-13)²
- 1³ = 1
- (-13)² = 169
- So, 1 × 169 =
169
✔ Answer: 169
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10. 0¹³⁵ + 8¹³⁵
- 0¹³⁵ = 0
- 8¹³⁵ is a huge number, but we don’t need to calculate it — just note that 0 + anything = that thing
- So, 0 + 8¹³⁵ =
8¹³⁵
✔ Answer: 8¹³⁵
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11. (-321)¹ + 1³²¹
- (-321)¹ = -321
- 1³²¹ = 1
- So, -321 + 1 =
-320
✔ Answer: -320
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12. (-1)¹¹³ + (-9)²
- (-1)¹¹³ = -1 (odd power)
- (-9)² = 81
- So, -1 + 81 =
80
✔ Answer: 80
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Final Answer:
1. 8
2. 1
3. 0
4. -72
5. 2
6. 256
7. -108
8. 56
9. 169
10. 8¹³⁵
11. -320
12. 80
Parent Tip: Review the logic above to help your child master the concept of solving exponential equations worksheets.
