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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 487 · 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.Write 9,90,000 in standard form as 9.9 × 10ⁿ. What is n?
  2. 2.What is the value of (2/3)⁻²? =
  3. 3.Write (4⁴)⁸ as a single power 4ⁿ. What is n?
  4. 4.Write 9.6 × 10⁻³ as a decimal. =
  5. 5.Write 6⁷ × 6⁸ as a single power 6ⁿ. What is n?
  6. 6.What is the value of 10¹ × 10⁻²? =
  7. 7.Write 20,000 in standard form as 2 × 10ⁿ. What is n?
  8. 8.What is the value of 5² × 5⁻²? =
  9. 9.What is the value of 4⁻³ (as a fraction)? =
  10. 10.What is the value of (1/7)⁻¹? =
  11. 11.What is the value of 6⁶? =
  12. 12.Write 2.7 × 10⁻² as a decimal. =
  13. 13.Write 8.2 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 2¹³? =
  15. 15.Write 2⁶ × 2⁴ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 3⁻¹ (as a fraction)? =
  17. 17.Write 9.9 × 10⁻¹ as a decimal. =
  18. 18.What is the value of (1/8)⁻¹? =
  19. 19.What is the value of 2² × 2⁻¹? =
  20. 20.What is the value of 5² × 5⁻¹? =
  21. 21.7 × 10⁵ =
  22. 22.Write 31,000 in standard form as 3.1 × 10ⁿ. What is n?
  23. 23.What is the value of 4⁴? =
  24. 24.What is the value of 10⁴ × 10⁻²? =
  25. 25.Write 1.9 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of (3/7)⁻²? =
  27. 27.Write (9⁹)³ as a single power 9ⁿ. What is n?
  28. 28.Write 6¹¹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 2⁵ × 2⁻⁶? =
  30. 30.Write 2.9 × 10⁻² as a decimal. =
  31. 31.What is the value of 7⁻¹ (as a fraction)? =
  32. 32.What is the value of 3²? =
  33. 33.What is the value of 4⁵? =
  34. 34.Write (7⁷)⁵ as a single power 7ⁿ. What is n?
  35. 35.Write 4 × 10⁻³ as a decimal. =
  36. 36.What is the value of (5/6)⁻²? =
  37. 37.Write 8.3 × 10⁻² as a decimal. =
  38. 38.9.6 × 10⁴ =
  39. 39.What is the value of 3⁵ × 3⁻⁵? =
  40. 40.What is the value of 5²? =

Answer key

  1. 5
  2. 9/4
  3. 32
  4. 0.0096
  5. 15
  6. 1/10
  7. 4
  8. 1
  9. 1/64
  10. 7
  11. 46656
  12. 0.027
  13. 0.00082
  14. 8192
  15. 10
  16. 1/3
  17. 0.99
  18. 8
  19. 2
  20. 5
  21. 700000
  22. 4
  23. 256
  24. 100
  25. 0.00019
  26. 49/9
  27. 27
  28. 7
  29. 1/2
  30. 0.029
  31. 1/7
  32. 9
  33. 1024
  34. 35
  35. 0.004
  36. 36/25
  37. 0.083
  38. 96000
  39. 1
  40. 25

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