Exponents Worksheets Generator

This exponents worksheet generator creates printable exponents practice sheets with answer keys, and it runs free in your web browser. There is no sign-up, and nothing is uploaded: the problems are made on your device.

Pick one or more problem types, such as evaluating exponents, the product rule, the quotient rule, power of a power, zero and negative exponents, or mixed exponent rules. Then choose a difficulty (Easy, Medium or Hard) and how many problems you want, from 6 to 30. Each sheet is ready to print or save as a PDF.

The generator suits teachers building practice for a class and students who want more problems to work through. Teachers searching for exponentiation worksheets or an exponential practice worksheet will find all the exponent rules here in one place. Everything you make is free for commercial use, such as on Teachers Pay Teachers.

How to use the Exponents Worksheet Generator

1. Tick one or more boxes under Problem types. Product rule, Quotient rule and Power of a power are ticked when the page opens.
2. Choose a level under Difficulty: Easy, Medium or Hard.
3. Pick a Number of problems: 6, 8, 10, 12, 15, 20, 24 or 30.
4. Open More options to set the Columns (Automatic, 1, 2 or 3), the Paper size (Letter or A4), a Worksheet title, a Name and date line, and whether the Answer key goes on a separate page (it is on by default).
5. Check the preview on the right. It shows the sheet as it will print.
6. Click Show answers to see each answer under its problem in the preview. Click it again to hide them.
7. Click New worksheet for a fresh random set with the same settings.
8. Click Print / Save as PDF. In the print dialog, choose Save as PDF to get a file.

When you tick several problem types, the problems are shared out evenly between them and grouped by type, each group with its own instruction. Problems are numbered 1 to N across the sheet, and no problem repeats on one sheet. Your settings are remembered in this browser for your next visit, unless you open a shared link. Click Copy link to copy a link that opens exactly the same worksheet again. Printing needs a printer or the Save as PDF option.

What are the exponent rules?

The exponent rules are a set of formulas for simplifying powers. Each rule covers one pattern, and the problem types on this page use them one at a time or mixed together.

• Product rule: a^m · aⁿ = a^m+n. Example: t³ · t² = t⁵.
• Quotient rule: a^m / aⁿ = a^m−n. Example: t⁴ / t² = t².
• Power of a power: (a^m)ⁿ = a^m·n. Example: (t²)² = t⁴.
• Power of a product: (ab)ⁿ = aⁿ · bⁿ. Example: (−3y⁴)³ = −27y¹².
• Zero exponent: a⁰ = 1, as long as a ≠ 0.
• Negative exponent: a⁻ⁿ = 1/aⁿ. Example: 6⁻³ = 1/216.

Coefficients (the numbers in front of the variables) are multiplied or divided as ordinary numbers. For example, 6y⁶ · 5y⁶ = 30y¹², and 45y¹¹ / 9y⁵ = 5y⁶.

Pay close attention to where the exponent sits. The exponent applies only to what it touches. So (−3)⁴ = 81, but −3⁴ = −81. Mixed problems combine several rules in one expression, such as (p²x⁻¹)⁴ = p⁸/x⁴. The Simplify types expect answers with positive exponents only.

Exponent rules and practice worksheet: how to check your work

To check an exponent answer, rewrite the problem using the rule that applies, then compare your result with the answer key. Look at each exponent to confirm it followed the rule, and make sure no negative exponent is left in a Simplify answer.

Take (−3y⁴)³ as an example. Apply the power of a product to get (−3)³ · (y⁴)³. Then (−3)³ = −27 and (y⁴)³ = y¹², so the answer is −27y¹². The answer is negative because the power is odd. If your sign or exponent differs from the key, rewrite the problem one step at a time to find where the difference starts.

Zero and negative exponents follow from the quotient rule: x³/x³ = x⁰, and it also equals 1, so x⁰ = 1; x²/x⁵ = x⁻³, which also equals 1/x³.

Sample problems from this generator

1. m⁴ · m³ · m² Answer: m⁹
2. 6m³ · 6m⁵ Answer: 36m⁸
3. 12m⁴4m Answer: 3m³
4. (4p)³ Answer: 64p³

Frequently asked questions

Is this exponents worksheet generator free to use?

Yes. It runs in your web browser, needs no sign-up, and uploads nothing, because the problems are made on your device.

Can I print the exponent rules worksheet or save it as a PDF sheet?

Yes. Click Print / Save as PDF and choose Save as PDF in the print dialog. The answer key is on by default and starts on a new page after the worksheet.

Does it work as an algebra 2 exponent rules worksheet?

Yes for review. Choose Hard with Zero and negative exponents or Mixed exponent rules: those problems use several variables, negative exponents and powers of products, such as (p²x⁻¹)⁴ = p⁸/x⁴, which matches the exponent work at the start of Algebra 2.

Can I use it for an exponent rules activity in class?

Yes. Click New worksheet a few times to print a different version for each group, let the groups swap sheets and check each other’s work with the printed answer key. Each version has different problems on the same rules.

How do I get a different set of problems?

Click New worksheet. Each click gives different problems with the same settings, so you can print several versions for a class or practise again with new numbers.

What form should negative exponents take in the answers?

The Simplify types expect positive exponents only. For example, 6⁻³ becomes 1/216, and 3/t⁻⁴ becomes 3t⁴.

Can I sell the exponents worksheets I make here on Teachers Pay Teachers?

Yes. You can sell what you make here, for example as a Teachers Pay Teachers resource, an Etsy download or pages in a KDP book. It is royalty-free and needs no credit line. The only limit is that you may not mirror or resell the site or its generators as a competing service.

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