Exponents Worksheets for Grade 5 | Worsheets library - Free Printable

Let's solve the Exponents Worksheet step by step and explain each part.

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Part 1: Rewrite the following exponents using repeated multiplication and solve.

We are given expressions like $ a^n $, which means multiplying the base $ a $ by itself $ n $ times.

#### Example:
$ 3^2 = 3 \times 3 = 9 $

Now let’s solve each:

1) $ 4^2 = 4 \times 4 = 16 $
2) $ 2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32 $
3) $ 3^3 = 3 \times 3 \times 3 = 27 $
4) $ 5^2 = 5 \times 5 = 25 $
5) $ 7^3 = 7 \times 7 \times 7 = 343 $
6) $ 8^3 = 8 \times 8 \times 8 = 512 $
7) $ 4^4 = 4 \times 4 \times 4 \times 4 = 256 $
8) $ 10^3 = 10 \times 10 \times 10 = 1000 $
9) $ 12^2 = 12 \times 12 = 144 $
10) $ 6^4 = 6 \times 6 \times 6 \times 6 = 1296 $

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Part 2: Rewrite the following expressions using exponents.

We need to write repeated multiplication in exponent form.

Example: $ 5 \times 5 = 5^2 $

Now let’s solve:

11) $ 8 \times 8 \times 8 = 8^3 $
12) $ 7 \times 7 \times 7 = 7^3 $
13) $ 6 \times 6 \times 6 \times 6 \times 6 = 6^5 $
14) $ 5 \times 5 \times 5 = 5^3 $
15) $ 2 \times 2 \times 2 \times 2 = 2^4 $
16) $ 10 \times 10 = 10^2 $
17) $ 6 \times 6 \times 6 \times 6 \times 6 = 6^5 $
18) $ 3 \times 3 \times 3 \times 3 = 3^4 $
19) $ 4 \times 4 \times 4 = 4^3 $
20) $ 7 \times 7 \times 7 \times 7 = 7^4 $

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✔ Final Answers:

#### Part 1:
1) $ 4 \times 4 = 16 $
2) $ 2 \times 2 \times 2 \times 2 \times 2 = 32 $
3) $ 3 \times 3 \times 3 = 27 $
4) $ 5 \times 5 = 25 $
5) $ 7 \times 7 \times 7 = 343 $
6) $ 8 \times 8 \times 8 = 512 $
7) $ 4 \times 4 \times 4 \times 4 = 256 $
8) $ 10 \times 10 \times 10 = 1000 $
9) $ 12 \times 12 = 144 $
10) $ 6 \times 6 \times 6 \times 6 = 1296 $

#### Part 2:
11) $ 8^3 $
12) $ 7^3 $
13) $ 6^5 $
14) $ 5^3 $
15) $ 2^4 $
16) $ 10^2 $
17) $ 6^5 $
18) $ 3^4 $
19) $ 4^3 $
20) $ 7^4 $

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🔍 Explanation:

- Exponent: The small number written above and to the right of a base number tells you how many times to multiply the base by itself.
- For example: $ 2^3 = 2 \times 2 \times 2 = 8 $
- Base: The number being multiplied.
- Repeated Multiplication → Exponent: When you see the same number multiplied several times, write it as base raised to the power of the count.

This worksheet helps build foundational understanding of exponents, which is essential for algebra and higher math.

Let me know if you'd like this formatted as a printable answer key!