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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 720 · 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 4³? =
  2. 2.Write (7⁹)⁵ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 9⁵? =
  4. 4.What is the value of 3⁶ × 3⁻¹? =
  5. 5.Write 52,000 in standard form as 5.2 × 10ⁿ. What is n?
  6. 6.What is the value of 3⁻¹ (as a fraction)? =
  7. 7.What is the value of 10⁻² (as a fraction)? =
  8. 8.Write 1.2 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 2¹⁵? =
  10. 10.Write (7⁸)⁴ as a single power 7ⁿ. What is n?
  11. 11.Write (7⁵)⁶ as a single power 7ⁿ. What is n?
  12. 12.1.2 × 10⁶ =
  13. 13.9.5 × 10⁶ =
  14. 14.What is the value of (1/5)⁻¹? =
  15. 15.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  16. 16.Write 8.8 × 10⁻³ as a decimal. =
  17. 17.Write (2²)⁵ as a single power 2ⁿ. What is n?
  18. 18.What is the value of 5³? =
  19. 19.What is the value of 5⁴? =
  20. 20.Write 97,000 in standard form as 9.7 × 10ⁿ. What is n?
  21. 21.What is the value of 3²? =
  22. 22.What is the value of 9⁻¹ (as a fraction)? =
  23. 23.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  24. 24.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
  25. 25.What is the value of (2/9)⁻¹? =
  26. 26.What is the value of 10² × 10⁻³? =
  27. 27.Write (4⁸)³ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 8⁵? =
  29. 29.What is the value of (6/7)⁻¹? =
  30. 30.What is the value of 4⁷? =
  31. 31.Write 32,000 in standard form as 3.2 × 10ⁿ. What is n?
  32. 32.What is the value of 10⁵? =
  33. 33.Write 4⁹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  34. 34.What is the value of 5⁷? =
  35. 35.Write 9.9 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 2³? =
  37. 37.What is the value of 3² × 3⁻⁴? =
  38. 38.Write 9.5 × 10⁻⁴ as a decimal. =
  39. 39.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
  40. 40.Write 740 in standard form as 7.4 × 10ⁿ. What is n?

Answer key

  1. 64
  2. 45
  3. 59049
  4. 243
  5. 4
  6. 1/3
  7. 1/100
  8. 0.00012
  9. 32768
  10. 32
  11. 30
  12. 1200000
  13. 9500000
  14. 5
  15. 6
  16. 0.0088
  17. 10
  18. 125
  19. 625
  20. 4
  21. 9
  22. 1/9
  23. 4
  24. 2
  25. 9/2
  26. 1/10
  27. 24
  28. 32768
  29. 7/6
  30. 16384
  31. 4
  32. 100000
  33. 2
  34. 78125
  35. 0.99
  36. 8
  37. 1/9
  38. 0.00095
  39. 17
  40. 2

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