This worksheet provides a variety of problems to help students practice calculating powers and evaluating expressions with exponents.

Sure! Let’s solve the Exponents Practice Worksheet step by step. I’ll explain each problem clearly so you understand how to compute exponents and evaluate expressions.

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## ✔ SECTION 1: Work out the given exponents

① \(5^4 = \)

This means \(5 \times 5 \times 5 \times 5\)

→ \(5 \times 5 = 25\)
→ \(25 \times 5 = 125\)
→ \(125 \times 5 = 625\)

✔ Answer: 625

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② \(8^2 = \)

\(8 \times 8 = 64\)

✔ Answer: 64

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③ \(1^4 = \)

Any power of 1 is always 1.

→ \(1 \times 1 \times 1 \times 1 = 1\)

✔ Answer: 1

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④ \(10^3 = \)

\(10 \times 10 \times 10 = 1000\)

✔ Answer: 1000

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⑤ \(6^3 = \)

\(6 \times 6 = 36\), then \(36 \times 6 = 216\)

✔ Answer: 216

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⑥ \(3^3 = \)

\(3 \times 3 = 9\), then \(9 \times 3 = 27\)

✔ Answer: 27

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⑦ \(6^2 + 3^2 = \_\_ + \_\_ = \_\_\)

First, compute each exponent:

→ \(6^2 = 36\)
→ \(3^2 = 9\)
→ \(36 + 9 = 45\)

✔ Answer: 36 + 9 = 45

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⑧ \(10^2 - 5^2 = \_\_ - \_\_ = \_\_\)

→ \(10^2 = 100\)
→ \(5^2 = 25\)
→ \(100 - 25 = 75\)

✔ Answer: 100 - 25 = 75

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⑨ \(8^2 - 6^2 = \_\_ - \_\_ = \_\_\)

→ \(8^2 = 64\)
→ \(6^2 = 36\)
→ \(64 - 36 = 28\)

✔ Answer: 64 - 36 = 28

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⑩ \(3^3 + 6^2 = \_\_ + \_\_ = \_\_\)

→ \(3^3 = 27\)
→ \(6^2 = 36\)
→ \(27 + 36 = 63\)

✔ Answer: 27 + 36 = 63

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## ✔ SECTION 2: Evaluate

⑪ \(6^2 - 20^1\)

→ \(6^2 = 36\)
→ \(20^1 = 20\) (any number to the power of 1 is itself)
→ \(36 - 20 = 16\)

✔ Answer: 16

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⑫ \(6^2 \times 1^{101}\)

→ \(6^2 = 36\)
→ \(1^{101} = 1\) (1 to any power is 1)
→ \(36 \times 1 = 36\)

✔ Answer: 36

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⑬ \(0^8 - 1^{15}\)

→ \(0^8 = 0\) (0 to any positive power is 0)
→ \(1^{15} = 1\)
→ \(0 - 1 = -1\)

✔ Answer: -1

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⑭ \(1^{13} - 9^1\)

→ \(1^{13} = 1\)
→ \(9^1 = 9\)
→ \(1 - 9 = -8\)

✔ Answer: -8

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⑮ \(4^2 - 2^2\)

→ \(4^2 = 16\)
→ \(2^2 = 4\)
→ \(16 - 4 = 12\)

✔ Answer: 12

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⑯ \(5^3 - 3^3\)

→ \(5^3 = 125\)
→ \(3^3 = 27\)
→ \(125 - 27 = 98\)

✔ Answer: 98

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## 📝 Final Answers Summary:

Section 1:

① 625
② 64
③ 1
④ 1000
⑤ 216
⑥ 27
⑦ 36 + 9 = 45
⑧ 100 - 25 = 75
⑨ 64 - 36 = 28
⑩ 27 + 36 = 63

Section 2:

⑪ 16
⑫ 36
⑬ -1
⑭ -8
⑮ 12
⑯ 98

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