Grade 8 · Year 9 · Class 8 · ages 13–14

Laws of exponents worksheets.

Free printable laws of exponents worksheets with answer keys. Multiplying, dividing and raising powers of the same base. Choose the level and the number of questions, then download a PDF or print.

Grade 8
Year 9 · Class 8
Ages 13–14
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Sheet 34635. Change the options above or make a new worksheet.

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Laws of exponents

Grade 8 · Medium · 12 questions · Sheet 34635

Name Date Score / 12

1.8² × 8⁴ = 8
2.2⁴ × 2⁴ = 2
3.7⁸ × 7⁵ = 7
4.9¹³ ÷ 9⁶ = 9
5.9⁹ ÷ 9⁶ = 9
6.5⁷ ÷ 5⁵ = 5
7.(9⁴)³ = 9
8.7⁵ × 7² = 7
9.5¹⁰ ÷ 5⁶ = 5
10.2² × 2⁶ = 2
11.9⁵ × 9² = 9
12.3⁴ × 3² = 3

About laws of exponents worksheets

Multiplying, dividing and raising powers of the same base. This worksheet maker is aimed at Grade 8 (Year 9, Class 8) (ages 13–14) and makes new questions every time, with the answers worked out by a maths engine.

Teaching tip

Same base: multiply means add the powers, divide means subtract, and a power of a power means multiply.

What the three levels look like

Easy: 2⁴ × 2² = 2
Medium: 7⁶ × 7⁵ = 7
Challenge: 4¹¹ ÷ 4⁶ = 4

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FAQ

Laws of exponents worksheets: questions

What grade are laws of exponents worksheets for?

Laws of exponents is usually taught around Grade 8 (Year 9, Class 8), for ages 13–14. Every grade has an easy, medium and challenge level, so you can go back to an earlier level or push ahead.

Do these laws of exponents worksheets include an answer key?

Yes. Press Download PDF with the answer key switched on and the last page lists every answer. Turn the key off for a clean student copy.

Can I make a new worksheet with different questions?

Yes. Press New worksheet for a fresh set of questions. Each sheet has a sheet number printed on it; open this page with the same level, question count and number to get exactly the same sheet again.

How do I help a child who finds laws of exponents hard?

Same base: multiply means add the powers, divide means subtract, and a power of a power means multiply. Start with the easy level, and practise a few minutes every day rather than one long session.

What is the first rule for solving equations?

Whatever you do to one side of the equation you must do to the other. Undo adding with subtracting and multiplying with dividing. Our Equation Balance game shows this on a balance scale.

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