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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 888 · 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 2¹³? =
  2. 2.What is the value of 5⁻⁴ (as a fraction)? =
  3. 3.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  4. 4.Write 7³ × 7⁷ as a single power 7ⁿ. What is n?
  5. 5.What is the value of (1/7)⁻²? =
  6. 6.What is the value of 3⁶? =
  7. 7.What is the value of 2¹⁴? =
  8. 8.What is the value of 9⁵? =
  9. 9.Write 1.7 × 10⁻³ as a decimal. =
  10. 10.Write 5² × 5⁵ as a single power 5ⁿ. What is n?
  11. 11.What is the value of 5² × 5⁻⁵? =
  12. 12.What is the value of 10² × 10⁻¹? =
  13. 13.What is the value of 6³? =
  14. 14.Write 4⁸ ÷ 4⁵ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 2⁻² (as a fraction)? =
  16. 16.Write 3⁷ × 3⁸ as a single power 3ⁿ. What is n?
  17. 17.What is the value of 8⁵? =
  18. 18.What is the value of 6⁶? =
  19. 19.Write 3.7 × 10⁻⁴ as a decimal. =
  20. 20.Write 6⁴ × 6⁸ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 2⁻¹ (as a fraction)? =
  22. 22.What is the value of 5³ × 5⁻¹? =
  23. 23.6.8 × 10² =
  24. 24.Write 1.8 × 10⁻¹ as a decimal. =
  25. 25.What is the value of (6/7)⁻¹? =
  26. 26.Write 3⁸ × 3² as a single power 3ⁿ. What is n?
  27. 27.Write (3²)² as a single power 3ⁿ. What is n?
  28. 28.Write 8.6 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of 7⁻² (as a fraction)? =
  30. 30.What is the value of 2⁻⁴ (as a fraction)? =
  31. 31.Write 5.8 × 10⁻² as a decimal. =
  32. 32.What is the value of (1/4)⁻²? =
  33. 33.Write 4⁶ ÷ 4³ as a single power 4ⁿ. What is n?
  34. 34.Write 2.6 × 10⁻² as a decimal. =
  35. 35.Write (8⁷)⁹ as a single power 8ⁿ. What is n?
  36. 36.Write 91,000 in standard form as 9.1 × 10ⁿ. What is n?
  37. 37.Write 4¹³ ÷ 4⁸ as a single power 4ⁿ. What is n?
  38. 38.What is the value of 5⁴? =
  39. 39.Write 3.4 × 10⁻² as a decimal. =
  40. 40.What is the value of 3⁻¹ (as a fraction)? =

Answer key

  1. 8192
  2. 1/625
  3. 6
  4. 10
  5. 49
  6. 729
  7. 16384
  8. 59049
  9. 0.0017
  10. 7
  11. 1/125
  12. 10
  13. 216
  14. 3
  15. 1/4
  16. 15
  17. 32768
  18. 46656
  19. 0.00037
  20. 12
  21. 1/2
  22. 25
  23. 680
  24. 0.18
  25. 7/6
  26. 10
  27. 4
  28. 0.00086
  29. 1/49
  30. 1/16
  31. 0.058
  32. 16
  33. 3
  34. 0.026
  35. 63
  36. 4
  37. 5
  38. 625
  39. 0.034
  40. 1/3

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