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Grade 1–3Curriculum · Maths: number sense

Exponents, Square Roots and Standard Form — Worksheets

Practise powers, exponent rules, square roots and standard form with new numbers every time.

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  • Number sense · 20Powers, square roots and scientific notation.

Powers, square roots and standard form · 14-16 years

Name: ____________________
1.x² · x⁴ = x^?
2.3⁶ / 3⁵ = 3^?
3.3⁴ =
4.10² =
5.2⁴ · 2⁴ = 2^?
6.Write in standard form: 480,000
7.5² · 5³ = 5^?
8.√16 =
9.Write in standard form: 5400
10.Write in standard form: 59,000
11.8² =
12.Write as an ordinary number: 9.3 · 10³
13.Write in standard form: 4,400,000
14.a⁶ / a³ = a^?
15.Write in standard form: 83,000
16.Write in standard form: 150,000
17.5⁶ · 5³ = 5^?
18.2³ · 2⁶ = 2^?
19.Write as an ordinary number: 9.3 · 10⁵
20.Write as an ordinary number: 2.7 · 10⁶

Answer key

  1. 1. x⁶
  2. 2. 3¹
  3. 3. 81
  4. 4. 100
  5. 5. 2⁸
  6. 6. 4.8 · 10⁵
  7. 7. 5⁵
  8. 8. 4
  9. 9. 5.4 · 10³
  10. 10. 5.9 · 10⁴
  11. 11. 64
  12. 12. 9300
  13. 13. 4.4 · 10⁶
  14. 14. a³
  15. 15. 8.3 · 10⁴
  16. 16. 1.5 · 10⁵
  17. 17. 5⁹
  18. 18. 2⁹
  19. 19. 930,000
  20. 20. 2,700,000

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  1. Choose the exercise type powers, square roots and standard form.
  2. Pick age group 12–14 or 14–16, difficulty and calculations, word problems or a mix.
  3. Print or save as PDF. “Create New Version” gives new numbers with a matching answer key.

About this generator

Powers make big and small numbers manageable. The sheets cover calculating powers, the rules aᵐ · aⁿ = aᵐ⁺ⁿ and aᵐ / aⁿ = aᵐ⁻ⁿ, square roots of perfect squares and writing numbers in standard form. For algebra, the generator also offers the square rules, the conjugate rule and factorising. The answer key is calculated by the website, so it always matches the tasks. No sign-up is needed and no personal data is collected.

Popular uses

  • Exponent rules
  • Scientific notation in science lessons
  • Square rules and factorising
  • Revision before a test

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Frequently asked questions

What is standard form?
A number written as a · 10ⁿ with 1 ≤ a < 10, for example 45 000 = 4.5 · 10⁴.
What is aᵐ · aⁿ?
Add the exponents: aᵐ⁺ⁿ.

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