How To Use Exponents Worksheets Grade 8 [PDFs] Brighterly.com - Free Printable

Let's solve each problem step by step on the Exponents Practice Worksheet.

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① $ 8^3 - 6^2 $

- $ 8^3 = 8 \times 8 \times 8 = 512 $
- $ 6^2 = 6 \times 6 = 36 $
- $ 512 - 36 = \boxed{476} $

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② $ 6^4 + 4^4 $

- $ 6^4 = 6 \times 6 \times 6 \times 6 = 1296 $
- $ 4^4 = 4 \times 4 \times 4 \times 4 = 256 $
- $ 1296 + 256 = \boxed{1552} $

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③ $ 10^2 - 3^3 $

- $ 10^2 = 10 \times 10 = 100 $
- $ 3^3 = 3 \times 3 \times 3 = 27 $
- $ 100 - 27 = \boxed{73} $

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④ $ 1^0 - 1^{100} $

- Any number to the power of 0 is 1 → $ 1^0 = 1 $
- $ 1^{100} = 1 $
- $ 1 - 1 = \boxed{0} $

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⑤ $ 0^8 - 1^{20} $

- $ 0^8 = 0 $ (any positive power of 0 is 0)
- $ 1^{20} = 1 $
- $ 0 - 1 = \boxed{-1} $

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⑥ $ 99^1 + 10^2 $

- $ 99^1 = 99 $
- $ 10^2 = 100 $
- $ 99 + 100 = \boxed{199} $

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⑦ $ 6^2 - 20^1 $

- $ 6^2 = 36 $
- $ 20^1 = 20 $
- $ 36 - 20 = \boxed{16} $

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⑧ $ 5^4 - 2^4 $

- $ 5^4 = 5 \times 5 \times 5 \times 5 = 625 $
- $ 2^4 = 2 \times 2 \times 2 \times 2 = 16 $
- $ 625 - 16 = \boxed{609} $

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⑨ $ 8^3 - 2^2 $

- $ 8^3 = 512 $ (from earlier)
- $ 2^2 = 4 $
- $ 512 - 4 = \boxed{508} $

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⑩ $ 7^2 - 22^0 $

- $ 7^2 = 49 $
- $ 22^0 = 1 $ (any non-zero number to the power 0 is 1)
- $ 49 - 1 = \boxed{48} $

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⑪ $ 4^4 - 0^{10} $

- $ 4^4 = 256 $
- $ 0^{10} = 0 $
- $ 256 - 0 = \boxed{256} $

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⑫ $ 2^6 + 2^4 $

- $ 2^6 = 64 $
- $ 2^4 = 16 $
- $ 64 + 16 = \boxed{80} $

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✔ Final Answers:

| Problem | 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 |

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🔍 Key Concepts Used:

- Exponentiation: $ a^n = a \times a \times \dots \times a $ ($ n $ times)
- $ a^0 = 1 $ for any $ a \neq 0 $
- $ 0^n = 0 $ for $ n > 0 $
- Order of operations: exponents first, then addition/subtraction

Let me know if you'd like this in a printable format or with explanations for each!