Worksheets · Algebra 1

Multiplying exponents worksheet

Multiplying powers of the same base means adding the exponents, because you are just counting how many copies of the base there are in total. The coefficients out front multiply as normal numbers, which is the part that is easy to forget.

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Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Multiplying Exponents

Date Period

Simplify. Your answer should contain only positive exponents.

  1. 9a47a3
  2. 3p2x27p2x2
  3. 6b22b2
  4. 7ax23ax
  5. 6p31p2
  6. 3x2a49a4x3
  7. 8x2k7k4x
  8. 4y3y2
  9. 3ax42x2a2
  10. 3ax5a3x3
  11. x4b47x2b
  12. 8k4k
  13. 8n28n4
  14. 3a2xa4x2
  15. 3xy44x3y3
  16. 6b4x8bx2
  17. 1a36a3
  18. 2a46a2
  19. 7bx3b3x4
  20. 4xy2x3y3

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Multiplying ExponentsAnswer keyVersion 1

Date Period

Simplify. Your answer should contain only positive exponents.

  1. 9a47a363a
  2. 3p2x27p2x221p4x4
  3. 6b22b212
  4. 7ax23ax21a2x3
  5. 6p31p26p5
  6. 3x2a49a4x327x5
  7. 8x2k7k4x56k3x3
  8. 4y3y212y
  9. 3ax42x2a26x6a
  10. 3ax5a3x315a2x4
  11. x4b47x2b7x6b5
  12. 8k4k8k3
  13. 8n28n464n2
  14. 3a2xa4x23a2x3
  15. 3xy44x3y312x2y7
  16. 6b4x8bx248b5x3
  17. 1a36a36
  18. 2a46a212a2
  19. 7bx3b3x421b2x5
  20. 4xy2x3y38x4y2

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

2m22m3

  1. The numbers multiply: 2 times 2 is 4.
  2. The powers add: 2 plus 3 is 5.

The answer is 4m5.

Where students go wrong

Multiplying the exponents instead of adding them. That rule belongs to a power raised to a power, not to a product. m squared times m cubed is m to the fifth, not m to the sixth.

Also called product rule exponents, product of powers or adding exponents.

Questions about these worksheets

Yes. Every multiplying exponents sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the multiplying exponents questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Multiplying the exponents instead of adding them. That rule belongs to a power raised to a power, not to a product. m squared times m cubed is m to the fifth, not m to the sixth.