Exponents Worksheet Generator
Make a printable exponents worksheet in seconds: find the value of powers, write repeated multiplication as a power and back, find a missing base or exponent, and simplify with the laws of exponents. Three levels, with an answer key.
Pick the practice and a level, then print or download the PDF. Easy keeps to squares, cubes and powers of 10; Standard goes up to the fifth power and adds products and quotients of powers; Challenge adds the exponent 0, negative bases and powers of powers.
Exponents up to 5, powers of 10 up to a million, the exponent 1, products and quotients of powers.
PDF puts the answer key on its own page.
Exponents Practice
16 problems · Mixed · Standard
Name: ______________________ Date: ____________
Find the value of each power.
64 =
73 =
34 =
94 =
Write each product as a power, and each power as a product.
3 × 3 × 3 × 3 × 3 × 3 =
9 × 9 × 9 × 9 × 9 × 9 =
126 =
124 =
Find the number that belongs in each box.
2 = 4
=
4 = 6,561
=
4 = 4,096
=
3 = 343
=
Simplify. Write each answer as a single power.
65 × 68 =
75 ÷ 74 =
72 × 75 =
68 × 62 =
Answer key
Find the value of each power.
64 = 1,296
73 = 343
34 = 81
94 = 6,561
Write each product as a power, and each power as a product.
3 × 3 × 3 × 3 × 3 × 3 = 36
9 × 9 × 9 × 9 × 9 × 9 = 96
126 = 12 × 12 × 12 × 12 × 12 × 12
124 = 12 × 12 × 12 × 12
Find the number that belongs in each box.
2 = 4
= 2
4 = 6,561
= 9
4 = 4,096
= 6
3 = 343
= 7
Simplify. Write each answer as a single power.
65 × 68 = 613
75 ÷ 74 = 71
72 × 75 = 77
68 × 62 = 610
Answer Key · Exponents Practice
16 problems · Mixed · Standard
Find the value of each power.
64 = 1,296
73 = 343
34 = 81
94 = 6,561
Write each product as a power, and each power as a product.
3 × 3 × 3 × 3 × 3 × 3 = 36
9 × 9 × 9 × 9 × 9 × 9 = 96
126 = 12 × 12 × 12 × 12 × 12 × 12
124 = 12 × 12 × 12 × 12
Find the number that belongs in each box.
2 = 4
= 2
4 = 6,561
= 9
4 = 4,096
= 6
3 = 343
= 7
Simplify. Write each answer as a single power.
65 × 68 = 613
75 ÷ 74 = 71
72 × 75 = 77
68 × 62 = 610
What is an exponent?
An exponent tells you how many times to multiply a number, the base, by itself. In 3⁴ the base is 3 and the exponent is 4: 3⁴ = 3 × 3 × 3 × 3 = 81.
Any number to the power 1 is itself, and any non-zero number to the power 0 is 1. Powers of the same base multiply by adding exponents (2³ × 2⁴ = 2⁷), divide by subtracting them (5⁶ ÷ 5² = 5⁴), and a power of a power multiplies them ((3²)⁴ = 3⁸).
How to use the exponents worksheet generator
- 1Choose the practice: find the value, power ↔ product, missing base or exponent, laws of exponents, or a mixed sheet.
- 2Pick a level; the note under the menus lists what it includes.
- 3Choose 12 to 24 problems and whether to include the answer key.
- 4Press Regenerate worksheet for different problems, then print or download the PDF.
When this is useful
First lessons on powers
Use Easy with power ↔ product so students see that 5³ means 5 × 5 × 5, not 5 × 3.
Fluency with squares and cubes
Easy evaluation sheets drill the squares to 12² and cubes to 6³ that later work depends on.
Exponent laws
The laws practice asks for a single power, so students apply the rule instead of computing large numbers.
Negative numbers and order of operations
Challenge puts −3² next to (−3)², the pair that shows why brackets matter.
Examples to try
Find the value
2⁵ = 32, 10⁴ = 10,000, 7¹ = 7.
Power ↔ product
6 × 6 × 6 × 6 = 6⁴ and 2³ × 5² = 2 × 2 × 2 × 5 × 5.
Missing number
2^□ = 64 → 6, and □³ = 125 → 5.
Laws of exponents
4³ × 4⁵ = 4⁸, 9⁷ ÷ 9³ = 9⁴, (2³)⁴ = 2¹².
Signs, Challenge
−3² = −9 but (−3)² = 9; (−2)³ = −8; 7⁰ = 1.
Tips for better results
Name the base and the exponent
Ask students to say which number is multiplied and how many times before they calculate.
Watch for 5³ = 15
Multiplying base by exponent is the most common mistake. The power ↔ product practice targets it directly.
Keep answers as powers
On the laws practice, the key writes each answer as a single power; ask for the same so the rule is the focus.
Use a calculator to check, not to solve
Large values such as 9⁵ = 59,049 are a good place to check work with a calculator after solving.
How the exponents worksheet generator works
Problems are generated from a seed, so the same settings give the same sheet. Every value is an exact whole number, checked by unit tests, and large answers are grouped with commas (59,049).
A missing base or exponent always has exactly one whole-number answer. The laws practice uses the same base on both sides, so every answer is a single power.
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Frequently asked questions
What grade is this for?
Squares, cubes and powers of 10 usually appear in grades 5 and 6; whole-number exponents and the laws of exponents in grades 6 to 8. Use the level to match your class.
Does it include negative exponents or fractions?
No. All exponents are whole numbers from 0 up, and bases are whole numbers. Negative bases appear only at Challenge, always in brackets or with the minus clearly outside the power.
Why is −3² equal to −9?
The exponent applies only to the 3, so −3² means −(3 × 3) = −9. With brackets, (−3)² = (−3) × (−3) = 9. Challenge sheets include both forms.
How are answers to the laws written?
As a single power, such as 4⁸. Students don't need to compute the value.
Is there an answer key?
Yes. It prints on its own page, after the student pages.
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