Let’s solve each problem step by step. We’ll calculate the exponents first, then do the addition or subtraction.
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① 8³ - 6²
8³ = 8 × 8 × 8 = 512
6² = 6 × 6 = 36
512 - 36 =
476
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② 6 + 4⁴
6⁴ = 6 × 6 × 6 × 6 = 1296
4⁴ = 4 × 4 × 4 × 4 = 256
1296 + 256 =
1552
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③ 10² - 3³
10² = 10 × 10 = 100
3³ = 3 × 3 × 3 = 27
100 - 27 =
73
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④ 1⁰ - 1¹⁰⁰
Any number to the power of 0 is 1 → 1⁰ = 1
1 to any power is still 1 → 1¹⁰⁰ = 1
1 - 1 =
0
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⑤ 0 - 1²⁰
0 to any positive power is 0 → 0⁸ = 0
1 to any power is 1 → 1²⁰ = 1
0 - 1 =
-1
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⑥ 99¹ + 10²
99¹ = 99 (any number to power 1 is itself)
10² = 10 × 10 = 100
99 + 100 =
199
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⑦ 6² - 20¹
6² = 6 × 6 = 36
20¹ = 20
36 - 20 =
16
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⑧ 5⁴ - 2⁴
5⁴ = 5 × 5 × 5 × 5 = 625
2⁴ = 2 × 2 × 2 × 2 = 16
625 - 16 =
609
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⑨ 8³ - 2²
8³ = 8 × 8 × 8 = 512
2² = 2 × 2 = 4
512 - 4 =
508
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⑩ 7² - 22⁰
7² = 7 × 7 = 49
22⁰ = 1 (any non-zero number to power 0 is 1)
49 - 1 =
48
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⑪ 4⁴ - 0¹⁰
4⁴ = 4 × 4 × 4 × 4 = 256
0¹⁰ = 0 (0 to any positive power is 0)
256 - 0 =
256
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⑫ 2⁶ + 2⁴
2⁶ = 2 × 2 × 2 × 2 × 2 × 2 = 64
2⁴ = 2 × 2 × 2 × 2 = 16
64 + 16 =
80
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Final Answer:
① 476
② 1552
③ 73
④ 0
⑤ -1
⑥ 199
⑦ 16
⑧ 609
⑨ 508
⑩ 48
⑪ 256
⑫ 80
Parent Tip: Review the logic above to help your child master the concept of worksheet on exponents.
