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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 286 · 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 2⁵? =
  2. 2.6.3 × 10⁷ =
  3. 3.What is the value of 7²? =
  4. 4.Write 4¹⁰ ÷ 4³ as a single power 4ⁿ. What is n?
  5. 5.Write 7¹⁰ ÷ 7³ as a single power 7ⁿ. What is n?
  6. 6.Write 6⁹ × 6⁷ as a single power 6ⁿ. What is n?
  7. 7.Write 2.3 × 10⁻⁴ as a decimal. =
  8. 8.3.7 × 10⁷ =
  9. 9.Write 8⁶ × 8⁶ as a single power 8ⁿ. What is n?
  10. 10.What is the value of 4⁵? =
  11. 11.What is the value of (5/9)⁻¹? =
  12. 12.What is the value of 3⁵ × 3⁻²? =
  13. 13.What is the value of 10²? =
  14. 14.What is the value of 2¹³? =
  15. 15.Write 8.6 × 10⁻³ as a decimal. =
  16. 16.6.8 × 10⁴ =
  17. 17.What is the value of 2⁶ × 2⁻⁴? =
  18. 18.What is the value of 10⁶ × 10⁻⁵? =
  19. 19.Write 3.8 × 10⁻² as a decimal. =
  20. 20.What is the value of 3⁻⁶ (as a fraction)? =
  21. 21.What is the value of 4⁻⁴ (as a fraction)? =
  22. 22.What is the value of 2⁹? =
  23. 23.What is the value of 2³? =
  24. 24.Write (7⁵)⁸ as a single power 7ⁿ. What is n?
  25. 25.8.1 × 10⁶ =
  26. 26.9 × 10⁵ =
  27. 27.Write 8.5 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 2¹⁰? =
  29. 29.Write 6⁷ ÷ 6² as a single power 6ⁿ. What is n?
  30. 30.7.9 × 10³ =
  31. 31.Write 60,00,000 in standard form as 6 × 10ⁿ. What is n?
  32. 32.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 3¹⁰? =
  34. 34.What is the value of 2¹⁵? =
  35. 35.Write 3.5 × 10⁻² as a decimal. =
  36. 36.8.2 × 10⁴ =
  37. 37.What is the value of 2⁻² (as a fraction)? =
  38. 38.What is the value of 5⁻² (as a fraction)? =
  39. 39.What is the value of 7⁻¹ (as a fraction)? =
  40. 40.What is the value of 10⁴? =

Answer key

  1. 32
  2. 63000000
  3. 49
  4. 7
  5. 7
  6. 16
  7. 0.00023
  8. 37000000
  9. 12
  10. 1024
  11. 9/5
  12. 27
  13. 100
  14. 8192
  15. 0.0086
  16. 68000
  17. 4
  18. 10
  19. 0.038
  20. 1/729
  21. 1/256
  22. 512
  23. 8
  24. 40
  25. 8100000
  26. 900000
  27. 0.85
  28. 1024
  29. 5
  30. 7900
  31. 6
  32. 8
  33. 59049
  34. 32768
  35. 0.035
  36. 82000
  37. 1/4
  38. 1/25
  39. 1/7
  40. 10000

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