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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 527 · 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 9⁻² (as a fraction)? =
  2. 2.Write 3,40,000 in standard form as 3.4 × 10ⁿ. What is n?
  3. 3.What is the value of (7/8)⁻¹? =
  4. 4.What is the value of 4⁻² (as a fraction)? =
  5. 5.What is the value of 3⁵ × 3⁻⁵? =
  6. 6.Write 7¹¹ ÷ 7⁴ as a single power 7ⁿ. What is n?
  7. 7.What is the value of 2⁻⁹ (as a fraction)? =
  8. 8.Write 7.8 × 10⁻⁴ as a decimal. =
  9. 9.Write 2² × 2³ as a single power 2ⁿ. What is n?
  10. 10.What is the value of (1/2)⁻¹? =
  11. 11.What is the value of (1/8)⁻¹? =
  12. 12.Write 6⁶ × 6⁵ as a single power 6ⁿ. What is n?
  13. 13.Write 1.2 × 10⁻¹ as a decimal. =
  14. 14.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
  15. 15.What is the value of 5⁻⁴ (as a fraction)? =
  16. 16.Write (2⁷)³ as a single power 2ⁿ. What is n?
  17. 17.4.2 × 10² =
  18. 18.What is the value of 6⁶? =
  19. 19.What is the value of 4³? =
  20. 20.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  21. 21.What is the value of 8³? =
  22. 22.Write 2¹³ ÷ 2⁷ as a single power 2ⁿ. What is n?
  23. 23.Write 7.5 × 10⁻² as a decimal. =
  24. 24.2 × 10⁶ =
  25. 25.What is the value of 2⁴? =
  26. 26.Write 3.4 × 10⁻⁴ as a decimal. =
  27. 27.Write 2.2 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 4⁴? =
  29. 29.What is the value of 5³ × 5⁻⁶? =
  30. 30.What is the value of 3⁻² (as a fraction)? =
  31. 31.Write 5¹⁰ ÷ 5⁶ as a single power 5ⁿ. What is n?
  32. 32.Write 4.4 × 10⁻³ as a decimal. =
  33. 33.Write 1.4 × 10⁻³ as a decimal. =
  34. 34.What is the value of 2⁶ × 2⁻¹? =
  35. 35.What is the value of 5⁵ × 5⁻⁵? =
  36. 36.Write 7⁷ × 7⁴ as a single power 7ⁿ. What is n?
  37. 37.Write 5⁴ × 5⁴ as a single power 5ⁿ. What is n?
  38. 38.Write 3,20,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  39. 39.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  40. 40.What is the value of 10² × 10⁻⁴? =

Answer key

  1. 1/81
  2. 5
  3. 8/7
  4. 1/16
  5. 1
  6. 7
  7. 1/512
  8. 0.00078
  9. 5
  10. 2
  11. 8
  12. 11
  13. 0.12
  14. 3
  15. 1/625
  16. 21
  17. 420
  18. 46656
  19. 64
  20. 2
  21. 512
  22. 6
  23. 0.075
  24. 2000000
  25. 16
  26. 0.00034
  27. 0.22
  28. 256
  29. 1/125
  30. 1/9
  31. 4
  32. 0.0044
  33. 0.0014
  34. 32
  35. 1
  36. 11
  37. 8
  38. 7
  39. 6
  40. 1/100

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