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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 796 · 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 5³ × 5⁻²? =
  2. 2.Write 1.1 × 10⁻² as a decimal. =
  3. 3.Write 4⁴ ÷ 4² as a single power 4ⁿ. What is n?
  4. 4.What is the value of 3⁵? =
  5. 5.Write 2³ × 2² as a single power 2ⁿ. What is n?
  6. 6.What is the value of 2⁻⁶ (as a fraction)? =
  7. 7.Write 5⁹ × 5⁷ as a single power 5ⁿ. What is n?
  8. 8.Write 2.9 × 10⁻³ as a decimal. =
  9. 9.Write 70,000 in standard form as 7 × 10ⁿ. What is n?
  10. 10.What is the value of 3⁴? =
  11. 11.What is the value of 2²? =
  12. 12.What is the value of 10⁵? =
  13. 13.3.9 × 10⁵ =
  14. 14.Write 3,800 in standard form as 3.8 × 10ⁿ. What is n?
  15. 15.Write 9⁶ ÷ 9⁴ as a single power 9ⁿ. What is n?
  16. 16.5.9 × 10⁴ =
  17. 17.What is the value of (5/9)⁻²? =
  18. 18.Write 7.9 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 2⁶? =
  20. 20.3.3 × 10³ =
  21. 21.What is the value of 3⁶ × 3⁻¹? =
  22. 22.What is the value of 10¹ × 10⁻¹? =
  23. 23.What is the value of 9²? =
  24. 24.6.4 × 10⁷ =
  25. 25.3.8 × 10⁴ =
  26. 26.What is the value of 2⁶ × 2⁻²? =
  27. 27.Write 1.8 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 2⁸? =
  29. 29.What is the value of (2/5)⁻¹? =
  30. 30.Write 3.9 × 10⁻² as a decimal. =
  31. 31.What is the value of 5²? =
  32. 32.Write (7⁶)³ as a single power 7ⁿ. What is n?
  33. 33.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  34. 34.Write 2⁴ × 2⁸ as a single power 2ⁿ. What is n?
  35. 35.Write 5² × 5⁸ as a single power 5ⁿ. What is n?
  36. 36.What is the value of 3²? =
  37. 37.Write 9 × 10⁻¹ as a decimal. =
  38. 38.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  39. 39.Write 2⁸ ÷ 2⁵ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 4⁵? =

Answer key

  1. 5
  2. 0.011
  3. 2
  4. 243
  5. 5
  6. 1/64
  7. 16
  8. 0.0029
  9. 4
  10. 81
  11. 4
  12. 100000
  13. 390000
  14. 3
  15. 2
  16. 59000
  17. 81/25
  18. 0.79
  19. 64
  20. 3300
  21. 243
  22. 1
  23. 81
  24. 64000000
  25. 38000
  26. 16
  27. 0.18
  28. 256
  29. 5/2
  30. 0.039
  31. 25
  32. 18
  33. 8
  34. 12
  35. 10
  36. 9
  37. 0.9
  38. 11
  39. 3
  40. 1024

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