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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 579 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of 3⁹? =
  2. 2.What is the value of 9⁻³ (as a fraction)? =
  3. 3.Write 8.5 × 10⁻³ as a decimal. =
  4. 4.What is the value of 5²? =
  5. 5.What is the value of 5⁶? =
  6. 6.What is the value of 2¹ × 2⁻³? =
  7. 7.Write 51,00,000 in standard form as 5.1 × 10ⁿ. What is n?
  8. 8.What is the value of 2¹⁴? =
  9. 9.3.8 × 10² =
  10. 10.Write 7.3 × 10⁻¹ as a decimal. =
  11. 11.Write 3.1 × 10⁻¹ as a decimal. =
  12. 12.1.2 × 10⁷ =
  13. 13.Write 200 in standard form as 2 × 10ⁿ. What is n?
  14. 14.What is the value of 3³ × 3⁻⁵? =
  15. 15.Write 7⁷ ÷ 7² as a single power 7ⁿ. What is n?
  16. 16.2.3 × 10⁷ =
  17. 17.What is the value of 5¹ × 5⁻³? =
  18. 18.Write 7¹⁰ ÷ 7³ as a single power 7ⁿ. What is n?
  19. 19.What is the value of 8³? =
  20. 20.What is the value of (2/5)⁻²? =
  21. 21.Write 8⁷ × 8⁶ as a single power 8ⁿ. What is n?
  22. 22.3.2 × 10² =
  23. 23.What is the value of 6³? =
  24. 24.What is the value of (1/8)⁻²? =
  25. 25.Write 7.8 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 5³ × 5⁻¹? =
  27. 27.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?
  28. 28.What is the value of 10¹ × 10⁻⁶? =
  29. 29.Write 53,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  30. 30.Write 48,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  31. 31.What is the value of (3/5)⁻²? =
  32. 32.Write 3.3 × 10⁻¹ as a decimal. =
  33. 33.Write 2.4 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of 3¹⁰? =
  35. 35.5.9 × 10² =
  36. 36.Write 1,50,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  37. 37.What is the value of 5² × 5⁻²? =
  38. 38.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  39. 39.6.3 × 10² =
  40. 40.What is the value of 10⁻³ (as a fraction)? =

Answer key

  1. 19683
  2. 1/729
  3. 0.0085
  4. 25
  5. 15625
  6. 1/4
  7. 6
  8. 16384
  9. 380
  10. 0.73
  11. 0.31
  12. 12000000
  13. 2
  14. 1/9
  15. 5
  16. 23000000
  17. 1/25
  18. 7
  19. 512
  20. 25/4
  21. 13
  22. 320
  23. 216
  24. 64
  25. 0.78
  26. 25
  27. 4
  28. 1/100000
  29. 6
  30. 6
  31. 25/9
  32. 0.33
  33. 0.00024
  34. 59049
  35. 590
  36. 7
  37. 1
  38. 42
  39. 630
  40. 1/1000

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