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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 596 · 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 2¹⁵? =
  2. 2.Write 4.2 × 10⁻³ as a decimal. =
  3. 3.What is the value of 2¹¹? =
  4. 4.Write 2.9 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 3² × 3⁻¹? =
  6. 6.What is the value of 3⁴? =
  7. 7.Write 2⁸ ÷ 2⁵ as a single power 2ⁿ. What is n?
  8. 8.What is the value of 3³ × 3⁻³? =
  9. 9.Write 5⁷ × 5² as a single power 5ⁿ. What is n?
  10. 10.What is the value of 10²? =
  11. 11.Write 3¹² ÷ 3⁸ as a single power 3ⁿ. What is n?
  12. 12.Write 5.3 × 10⁻² as a decimal. =
  13. 13.What is the value of 5¹ × 5⁻³? =
  14. 14.What is the value of 2⁵ × 2⁻⁴? =
  15. 15.What is the value of (1/2)⁻²? =
  16. 16.What is the value of 6³? =
  17. 17.What is the value of 10⁵ × 10⁻⁶? =
  18. 18.What is the value of (5/6)⁻¹? =
  19. 19.What is the value of 5⁻¹ (as a fraction)? =
  20. 20.Write 9⁴ × 9⁶ as a single power 9ⁿ. What is n?
  21. 21.Write 7,60,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  22. 22.What is the value of 4⁷? =
  23. 23.Write 41,000 in standard form as 4.1 × 10ⁿ. What is n?
  24. 24.What is the value of 3³? =
  25. 25.Write 2.6 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 5⁴? =
  27. 27.Write 1.4 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 2⁻² (as a fraction)? =
  29. 29.Write 6² × 6³ as a single power 6ⁿ. What is n?
  30. 30.Write 5⁹ ÷ 5⁶ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 10⁵? =
  32. 32.7.3 × 10² =
  33. 33.What is the value of 10¹ × 10⁻⁶? =
  34. 34.Write 3.4 × 10⁻² as a decimal. =
  35. 35.Write 3² × 3⁸ as a single power 3ⁿ. What is n?
  36. 36.5.5 × 10³ =
  37. 37.Write 8,000 in standard form as 8 × 10ⁿ. What is n?
  38. 38.What is the value of 10³ × 10⁻⁶? =
  39. 39.What is the value of (1/7)⁻¹? =
  40. 40.What is the value of 10³ × 10⁻³? =

Answer key

  1. 32768
  2. 0.0042
  3. 2048
  4. 0.29
  5. 3
  6. 81
  7. 3
  8. 1
  9. 9
  10. 100
  11. 4
  12. 0.053
  13. 1/25
  14. 2
  15. 4
  16. 216
  17. 1/10
  18. 6/5
  19. 1/5
  20. 10
  21. 7
  22. 16384
  23. 4
  24. 27
  25. 0.26
  26. 625
  27. 0.14
  28. 1/4
  29. 5
  30. 3
  31. 100000
  32. 730
  33. 1/100000
  34. 0.034
  35. 10
  36. 5500
  37. 3
  38. 1/1000
  39. 7
  40. 1

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