Algebra 1 Worksheets | Exponents Worksheets - Free Printable

Let’s solve each problem step by step. Remember, an exponent tells you how many times to multiply the base number by itself.

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1a. 0.6²
This means: 0.6 × 0.6
0.6 × 0.6 = 0.36

1b. 4²
This means: 4 × 4 = 16

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2a. 0.3¹
Any number to the power of 1 is just itself → 0.3

2b. 0.6¹
Same rule → 0.6

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3a. (1/10)²
Multiply the fraction by itself: (1/10) × (1/10) = 1/100
As a decimal: 0.01

3b. (2/3)²
(2/3) × (2/3) = 4/9

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4a. 0.4³
That’s 0.4 × 0.4 × 0.4
First: 0.4 × 0.4 = 0.16
Then: 0.16 × 0.4 = 0.064

4b. 0.8²
0.8 × 0.8 = 0.64

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5a. 1⁶⁵
No matter how many times you multiply 1 by itself, it’s always 1 → 1

5b. 5³
5 × 5 × 5 = 25 × 5 = 125

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6a. 0.3³
0.3 × 0.3 = 0.09
0.09 × 0.3 = 0.027

6b. (1/5)¹
Power of 1 → just 1/5 or 0.2

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7a. 3³
3 × 3 = 9; 9 × 3 = 27

7b. (1/5)³
(1/5) × (1/5) = 1/25; then × (1/5) = 1/125
As decimal: 0.008

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8a. 6²
6 × 6 = 36

8b. (1/2)³
(1/2) × (1/2) = 1/4; × (1/2) = 1/8
As decimal: 0.125

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9a. (1/5)²
(1/5) × (1/5) = 1/25 → 0.04

9b. 0.2⁶
We’ll do this step by step:
0.2² = 0.04
0.2³ = 0.04 × 0.2 = 0.008
0.2⁴ = 0.008 × 0.2 = 0.0016
0.2⁵ = 0.0016 × 0.2 = 0.00032
0.2⁶ = 0.00032 × 0.2 = 0.000064

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Final Answer:

1a. 0.36
1b. 16
2a. 0.3
2b. 0.6
3a. 0.01 (or 1/100)
3b. 4/9
4a. 0.064
4b. 0.64
5a. 1
5b. 125
6a. 0.027
6b. 0.2 (or 1/5)
7a. 27
7b. 0.008 (or 1/125)
8a. 36
8b. 0.125 (or 1/8)
9a. 0.04 (or 1/25)
9b. 0.000064