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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 959 · 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 (2/9)⁻¹? =
  2. 2.What is the value of 2⁻³ (as a fraction)? =
  3. 3.Write 9¹³ ÷ 9⁴ as a single power 9ⁿ. What is n?
  4. 4.Write 6¹⁰ ÷ 6⁷ as a single power 6ⁿ. What is n?
  5. 5.Write 9.3 × 10⁻² as a decimal. =
  6. 6.What is the value of 5² × 5⁻²? =
  7. 7.What is the value of 10²? =
  8. 8.What is the value of 3⁹? =
  9. 9.What is the value of 3⁴ × 3⁻⁴? =
  10. 10.7.6 × 10⁵ =
  11. 11.What is the value of 4⁷? =
  12. 12.Write 37,00,000 in standard form as 3.7 × 10ⁿ. What is n?
  13. 13.Write 9,20,000 in standard form as 9.2 × 10ⁿ. What is n?
  14. 14.Write 4⁹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  15. 15.Write 9⁶ × 9⁴ as a single power 9ⁿ. What is n?
  16. 16.2.6 × 10⁴ =
  17. 17.Write 9.4 × 10⁻⁴ as a decimal. =
  18. 18.Write 4² × 4⁹ as a single power 4ⁿ. What is n?
  19. 19.Write (7⁴)⁴ as a single power 7ⁿ. What is n?
  20. 20.2.8 × 10⁵ =
  21. 21.What is the value of (5/9)⁻¹? =
  22. 22.Write (9⁹)⁶ as a single power 9ⁿ. What is n?
  23. 23.Write 2.2 × 10⁻² as a decimal. =
  24. 24.What is the value of 2³ × 2⁻³? =
  25. 25.Write 5.7 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 4⁶? =
  27. 27.Write 7⁴ × 7⁸ as a single power 7ⁿ. What is n?
  28. 28.What is the value of 3⁶? =
  29. 29.Write 7⁴ × 7⁵ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 2¹³? =
  31. 31.What is the value of 3⁻⁶ (as a fraction)? =
  32. 32.What is the value of 2⁻⁸ (as a fraction)? =
  33. 33.What is the value of 2⁴? =
  34. 34.Write 1.3 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 3⁶ × 3⁻⁴? =
  36. 36.1.3 × 10⁵ =
  37. 37.What is the value of 10⁶ × 10⁻⁴? =
  38. 38.Write 8.5 × 10⁻¹ as a decimal. =
  39. 39.Write 2³ × 2⁵ as a single power 2ⁿ. What is n?
  40. 40.What is the value of (7/9)⁻¹? =

Answer key

  1. 9/2
  2. 1/8
  3. 9
  4. 3
  5. 0.093
  6. 1
  7. 100
  8. 19683
  9. 1
  10. 760000
  11. 16384
  12. 6
  13. 5
  14. 2
  15. 10
  16. 26000
  17. 0.00094
  18. 11
  19. 16
  20. 280000
  21. 9/5
  22. 54
  23. 0.022
  24. 1
  25. 0.57
  26. 4096
  27. 12
  28. 729
  29. 9
  30. 8192
  31. 1/729
  32. 1/256
  33. 16
  34. 0.00013
  35. 9
  36. 130000
  37. 100
  38. 0.85
  39. 8
  40. 9/7

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