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Math worksheet · Mathematics

Exponent rules: stretch · Grade 10

Simplify products, quotients and powers of powers. 16 problems at a stretch level for Grade 10, with an answer key for grown-ups.

  • Grade 10 · ages 15 to 16
  • Hard
  • 15 to 20 minutes
  • 1 page
  • Free
Paper

The answer key is a separate page for grown-ups. Sign in to download it.

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Directions: Simplify. Write each answer with one exponent.

  • 1. x¹⁴ ÷ x¹⁸ =
  • 2. a¹⁴ ÷ a¹⁸ =
  • 3. x⁹ ÷ x¹³ =
  • 4. x⁸ ÷ x⁴ =
  • 5. (m³)⁵ =
  • 6. y³ · y⁵ =
  • 7. (x⁶)³ =
  • 8. (x⁸)⁵ =
  • 9. (x³)⁴ =
  • 10. y² · y⁶ =
  • 11. (a⁹)⁴ =
  • 12. y⁸ ÷ y² =
  • 13. x¹² ÷ x⁶ =
  • 14. x⁴ · x⁸ =
  • 15. m² · m² =
  • 16. x¹³ ÷ x⁸ =

What your child practices

Your child practices the math skill “Equivalent expressions”: recognize equivalent linear expressions using the distributive property, combining like terms and factoring, including negative numbers.

Grades and ages
Grade 10, ages 15 to 16
Time
About 15 to 20 minutes
Subject
Mathematics
Level
Hard for Grade 10
Answer key
Yes, for grown-ups who sign in
Printing
1 page, US Letter or A4, low-ink option
Updated

How to use it

Try the first question together so the format is clear. Then let your child work through the rest, showing their thinking on the page. It is one of the harder sheets for Grade 10, best once the basics of the skill are secure.

An answer key comes with it as a separate page that grown-ups download after signing in.

Tip for grown-ups: Check the first three problems together before your child carries on alone; most mix-ups show early.

Done on paper? A grown-up can record it on the child's page in PlayOwl; downloading alone doesn't count as finished.

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