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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 772 · 40 sums
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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 3²? =
  2. 2.What is the value of 2³ × 2⁻¹? =
  3. 3.What is the value of 3⁵? =
  4. 4.What is the value of 2³ × 2⁻⁴? =
  5. 5.Write 9⁷ × 9² as a single power 9ⁿ. What is n?
  6. 6.3.4 × 10³ =
  7. 7.What is the value of 3⁵ × 3⁻⁴? =
  8. 8.Write (8⁷)⁵ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 5⁵ × 5⁻¹? =
  10. 10.7.3 × 10³ =
  11. 11.Write (2⁸)³ as a single power 2ⁿ. What is n?
  12. 12.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  13. 13.What is the value of 6²? =
  14. 14.Write 2⁷ ÷ 2⁴ as a single power 2ⁿ. What is n?
  15. 15.Write 4,00,00,000 in standard form as 4 × 10ⁿ. What is n?
  16. 16.6.7 × 10³ =
  17. 17.What is the value of 3² × 3⁻³? =
  18. 18.What is the value of 3¹⁰? =
  19. 19.What is the value of 9⁻¹ (as a fraction)? =
  20. 20.What is the value of 3⁶ × 3⁻¹? =
  21. 21.What is the value of 5²? =
  22. 22.What is the value of 5¹ × 5⁻⁵? =
  23. 23.What is the value of 6⁴? =
  24. 24.What is the value of 2⁸? =
  25. 25.What is the value of 7⁵? =
  26. 26.What is the value of 5⁶ × 5⁻⁶? =
  27. 27.Write 6,30,000 in standard form as 6.3 × 10ⁿ. What is n?
  28. 28.What is the value of 8²? =
  29. 29.What is the value of 5⁴ × 5⁻³? =
  30. 30.What is the value of 10² × 10⁻⁶? =
  31. 31.Write (8⁷)² as a single power 8ⁿ. What is n?
  32. 32.What is the value of 5⁻¹ (as a fraction)? =
  33. 33.What is the value of 4⁷? =
  34. 34.What is the value of 5⁴? =
  35. 35.Write 4⁹ × 4² as a single power 4ⁿ. What is n?
  36. 36.9.9 × 10² =
  37. 37.Write 7.6 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 10⁵ × 10⁻²? =
  39. 39.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  40. 40.Write 9.4 × 10⁻² as a decimal. =

Answer key

  1. 9
  2. 4
  3. 243
  4. 1/2
  5. 9
  6. 3400
  7. 3
  8. 35
  9. 625
  10. 7300
  11. 24
  12. 6
  13. 36
  14. 3
  15. 7
  16. 6700
  17. 1/3
  18. 59049
  19. 1/9
  20. 243
  21. 25
  22. 1/625
  23. 1296
  24. 256
  25. 16807
  26. 1
  27. 5
  28. 64
  29. 5
  30. 1/10000
  31. 14
  32. 1/5
  33. 16384
  34. 625
  35. 11
  36. 990
  37. 0.00076
  38. 1000
  39. 7
  40. 0.094

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