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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 65 · 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.Write 8 × 10⁻² as a decimal. =
  2. 2.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  3. 3.Write 9.9 × 10⁻⁴ as a decimal. =
  4. 4.7.6 × 10³ =
  5. 5.What is the value of 5³ × 5⁻⁵? =
  6. 6.What is the value of (1/5)⁻¹? =
  7. 7.Write 6⁹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  8. 8.Write 8.6 × 10⁻⁴ as a decimal. =
  9. 9.What is the value of 3⁴? =
  10. 10.Write 4.6 × 10⁻² as a decimal. =
  11. 11.8.3 × 10⁶ =
  12. 12.Write 8 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of (4/9)⁻¹? =
  14. 14.What is the value of 9³? =
  15. 15.5.9 × 10⁴ =
  16. 16.What is the value of (5/6)⁻²? =
  17. 17.Write 3¹⁴ ÷ 3⁷ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 2⁴ × 2⁻⁴? =
  19. 19.What is the value of (2/9)⁻¹? =
  20. 20.What is the value of 2⁻⁵ (as a fraction)? =
  21. 21.What is the value of 3⁻¹ (as a fraction)? =
  22. 22.What is the value of 4⁸? =
  23. 23.What is the value of 3⁻² (as a fraction)? =
  24. 24.What is the value of 2¹¹? =
  25. 25.Write 7.2 × 10⁻³ as a decimal. =
  26. 26.Write 9⁸ ÷ 9⁴ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 2⁻⁴ (as a fraction)? =
  28. 28.What is the value of 5² × 5⁻²? =
  29. 29.What is the value of 8⁻² (as a fraction)? =
  30. 30.What is the value of 2⁵? =
  31. 31.What is the value of 5⁶? =
  32. 32.2.6 × 10² =
  33. 33.What is the value of (1/4)⁻²? =
  34. 34.Write 1.3 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 6⁶? =
  36. 36.What is the value of 4⁴? =
  37. 37.What is the value of 4⁻² (as a fraction)? =
  38. 38.What is the value of (2/7)⁻²? =
  39. 39.What is the value of 9⁻² (as a fraction)? =
  40. 40.Write 7² × 7⁴ as a single power 7ⁿ. What is n?

Answer key

  1. 0.08
  2. 7
  3. 0.00099
  4. 7600
  5. 1/25
  6. 5
  7. 4
  8. 0.00086
  9. 81
  10. 0.046
  11. 8300000
  12. 0.0008
  13. 9/4
  14. 729
  15. 59000
  16. 36/25
  17. 7
  18. 1
  19. 9/2
  20. 1/32
  21. 1/3
  22. 65536
  23. 1/9
  24. 2048
  25. 0.0072
  26. 4
  27. 1/16
  28. 1
  29. 1/64
  30. 32
  31. 15625
  32. 260
  33. 16
  34. 0.00013
  35. 46656
  36. 256
  37. 1/16
  38. 49/4
  39. 1/81
  40. 6

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