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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 970 · 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. 1.8 × 10² =
  2. 2.What is the value of 2⁴? =
  3. 3.Write 4.6 × 10⁻¹ as a decimal. =
  4. 4.Write 8¹¹ ÷ 8³ as a single power 8ⁿ. What is n?
  5. 5.Write 95,00,000 in standard form as 9.5 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁻² (as a fraction)? =
  7. 7.What is the value of 3³? =
  8. 8.What is the value of 3⁻³ (as a fraction)? =
  9. 9.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
  10. 10.5.1 × 10⁴ =
  11. 11.What is the value of (1/2)⁻¹? =
  12. 12.What is the value of 3⁵? =
  13. 13.What is the value of 2⁷? =
  14. 14.Write 9⁷ × 9⁷ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 10²? =
  16. 16.Write 6¹¹ ÷ 6³ as a single power 6ⁿ. What is n?
  17. 17.What is the value of 5⁻² (as a fraction)? =
  18. 18.Write 5,20,000 in standard form as 5.2 × 10ⁿ. What is n?
  19. 19.What is the value of 3⁴ × 3⁻²? =
  20. 20.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 3⁶ × 3⁻⁶? =
  22. 22.What is the value of 2⁶ × 2⁻⁵? =
  23. 23.What is the value of 4³? =
  24. 24.3.4 × 10⁶ =
  25. 25.Write 6¹¹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  26. 26.What is the value of 3⁵ × 3⁻⁴? =
  27. 27.Write 79,000 in standard form as 7.9 × 10ⁿ. What is n?
  28. 28.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  29. 29.Write 7.9 × 10⁻¹ as a decimal. =
  30. 30.Write 9,90,000 in standard form as 9.9 × 10ⁿ. What is n?
  31. 31.Write 3 × 10⁻¹ as a decimal. =
  32. 32.Write 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  33. 33.What is the value of 2¹⁵? =
  34. 34.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
  35. 35.What is the value of 10⁵ × 10⁻⁶? =
  36. 36.What is the value of (4/5)⁻¹? =
  37. 37.What is the value of (1/7)⁻¹? =
  38. 38.What is the value of 10⁴ × 10⁻¹? =
  39. 39.What is the value of (2/9)⁻¹? =
  40. 40.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?

Answer key

  1. 800
  2. 16
  3. 0.46
  4. 8
  5. 6
  6. 1/4
  7. 27
  8. 1/27
  9. 4
  10. 51000
  11. 2
  12. 243
  13. 128
  14. 14
  15. 100
  16. 8
  17. 1/25
  18. 5
  19. 9
  20. 6
  21. 1
  22. 2
  23. 64
  24. 3400000
  25. 6
  26. 3
  27. 4
  28. 7
  29. 0.79
  30. 5
  31. 0.3
  32. 3
  33. 32768
  34. 9
  35. 1/10
  36. 5/4
  37. 7
  38. 1000
  39. 9/2
  40. 3

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