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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 239 · 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 5⁷? =
  2. 2.Write 3.5 × 10⁻¹ as a decimal. =
  3. 3.What is the value of (5/9)⁻¹? =
  4. 4.What is the value of 2⁶ × 2⁻²? =
  5. 5.What is the value of 5³ × 5⁻¹? =
  6. 6.What is the value of 4⁻⁴ (as a fraction)? =
  7. 7.7.9 × 10⁷ =
  8. 8.What is the value of 2⁻⁵ (as a fraction)? =
  9. 9.5.9 × 10² =
  10. 10.1.5 × 10⁷ =
  11. 11.Write 5¹⁶ ÷ 5⁸ as a single power 5ⁿ. What is n?
  12. 12.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  13. 13.1.1 × 10⁶ =
  14. 14.What is the value of 7⁴? =
  15. 15.Write 87,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  16. 16.Write 6.5 × 10⁻² as a decimal. =
  17. 17.What is the value of 6³? =
  18. 18.What is the value of 5⁴ × 5⁻¹? =
  19. 19.What is the value of 7³? =
  20. 20.What is the value of 7²? =
  21. 21.Write 4¹⁰ ÷ 4⁷ as a single power 4ⁿ. What is n?
  22. 22.Write 6.1 × 10⁻³ as a decimal. =
  23. 23.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
  24. 24.Write 4⁶ × 4⁵ as a single power 4ⁿ. What is n?
  25. 25.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
  26. 26.Write 6.1 × 10⁻² as a decimal. =
  27. 27.What is the value of 5² × 5⁻²? =
  28. 28.Write 3.8 × 10⁻³ as a decimal. =
  29. 29.Write 1.4 × 10⁻¹ as a decimal. =
  30. 30.Write 5.1 × 10⁻⁴ as a decimal. =
  31. 31.2.1 × 10² =
  32. 32.Write (9⁶)⁶ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 5³ × 5⁻²? =
  34. 34.What is the value of 2⁻⁴ (as a fraction)? =
  35. 35.Write 2¹⁰ ÷ 2⁵ as a single power 2ⁿ. What is n?
  36. 36.What is the value of 10⁶ × 10⁻⁴? =
  37. 37.Write 5.1 × 10⁻³ as a decimal. =
  38. 38.What is the value of 2⁻¹ (as a fraction)? =
  39. 39.Write 7.5 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of (4/9)⁻¹? =

Answer key

  1. 78125
  2. 0.35
  3. 9/5
  4. 16
  5. 25
  6. 1/256
  7. 79000000
  8. 1/32
  9. 590
  10. 15000000
  11. 8
  12. 3
  13. 1100000
  14. 2401
  15. 6
  16. 0.065
  17. 216
  18. 125
  19. 343
  20. 49
  21. 3
  22. 0.0061
  23. 8
  24. 11
  25. 6
  26. 0.061
  27. 1
  28. 0.0038
  29. 0.14
  30. 0.00051
  31. 210
  32. 36
  33. 5
  34. 1/16
  35. 5
  36. 100
  37. 0.0051
  38. 1/2
  39. 0.00075
  40. 9/4

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