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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 241 · 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 7⁴? =
  2. 2.Write 5¹¹ ÷ 5⁹ as a single power 5ⁿ. What is n?
  3. 3.Write 1.1 × 10⁻³ as a decimal. =
  4. 4.Write 820 in standard form as 8.2 × 10ⁿ. What is n?
  5. 5.Write (4²)⁵ as a single power 4ⁿ. What is n?
  6. 6.Write 9¹⁴ ÷ 9⁷ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 2¹ × 2⁻⁴? =
  8. 8.Write 520 in standard form as 5.2 × 10ⁿ. What is n?
  9. 9.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  10. 10.Write 570 in standard form as 5.7 × 10ⁿ. What is n?
  11. 11.4.7 × 10⁵ =
  12. 12.What is the value of 2⁶ × 2⁻⁴? =
  13. 13.What is the value of 2⁶? =
  14. 14.1.9 × 10² =
  15. 15.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?
  16. 16.What is the value of 2⁴? =
  17. 17.What is the value of 7⁻³ (as a fraction)? =
  18. 18.Write 1.7 × 10⁻⁴ as a decimal. =
  19. 19.Write 5.7 × 10⁻³ as a decimal. =
  20. 20.Write 3⁶ ÷ 3⁴ as a single power 3ⁿ. What is n?
  21. 21.What is the value of (6/7)⁻¹? =
  22. 22.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  23. 23.1.4 × 10⁶ =
  24. 24.Write 3¹⁶ ÷ 3⁷ as a single power 3ⁿ. What is n?
  25. 25.What is the value of (1/7)⁻²? =
  26. 26.4.3 × 10⁴ =
  27. 27.What is the value of 3⁶? =
  28. 28.What is the value of 4⁴? =
  29. 29.Write 2.3 × 10⁻³ as a decimal. =
  30. 30.What is the value of 2³ × 2⁻⁵? =
  31. 31.Write 7.8 × 10⁻⁴ as a decimal. =
  32. 32.Write 7⁸ × 7⁶ as a single power 7ⁿ. What is n?
  33. 33.What is the value of (2/5)⁻¹? =
  34. 34.Write 4.2 × 10⁻³ as a decimal. =
  35. 35.Write (6⁷)⁴ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 3⁻⁴ (as a fraction)? =
  37. 37.3.3 × 10³ =
  38. 38.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  39. 39.What is the value of 10⁴ × 10⁻²? =
  40. 40.What is the value of 3² × 3⁻²? =

Answer key

  1. 2401
  2. 2
  3. 0.0011
  4. 2
  5. 10
  6. 7
  7. 1/8
  8. 2
  9. 4
  10. 2
  11. 470000
  12. 4
  13. 64
  14. 190
  15. 9
  16. 16
  17. 1/343
  18. 0.00017
  19. 0.0057
  20. 2
  21. 7/6
  22. 4
  23. 1400000
  24. 9
  25. 49
  26. 43000
  27. 729
  28. 256
  29. 0.0023
  30. 1/4
  31. 0.00078
  32. 14
  33. 5/2
  34. 0.0042
  35. 28
  36. 1/81
  37. 3300
  38. 8
  39. 100
  40. 1

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