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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 824 · 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 2² × 2⁻¹? =
  2. 2.What is the value of 3⁵ × 3⁻⁶? =
  3. 3.What is the value of 2⁻¹ (as a fraction)? =
  4. 4.Write 4⁹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  5. 5.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  6. 6.What is the value of 10³? =
  7. 7.What is the value of 5⁶? =
  8. 8.Write 8¹² ÷ 8⁴ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 4⁻³ (as a fraction)? =
  10. 10.What is the value of 2³? =
  11. 11.What is the value of 10⁵ × 10⁻²? =
  12. 12.Write 3.4 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of (3/7)⁻¹? =
  14. 14.Write (6²)⁶ as a single power 6ⁿ. What is n?
  15. 15.Write 2¹⁰ ÷ 2⁸ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 2¹⁶? =
  17. 17.4.6 × 10⁷ =
  18. 18.What is the value of 10²? =
  19. 19.Write 7.2 × 10⁻³ as a decimal. =
  20. 20.What is the value of (1/7)⁻¹? =
  21. 21.Write 87,000 in standard form as 8.7 × 10ⁿ. What is n?
  22. 22.What is the value of 4⁻⁴ (as a fraction)? =
  23. 23.Write 6 × 10⁻² as a decimal. =
  24. 24.2.4 × 10⁵ =
  25. 25.6.2 × 10⁶ =
  26. 26.Write (4⁹)⁷ as a single power 4ⁿ. What is n?
  27. 27.Write (5²)² as a single power 5ⁿ. What is n?
  28. 28.What is the value of 5⁶ × 5⁻⁶? =
  29. 29.What is the value of (1/3)⁻²? =
  30. 30.Write 940 in standard form as 9.4 × 10ⁿ. What is n?
  31. 31.What is the value of 9⁵? =
  32. 32.What is the value of 10⁶ × 10⁻⁶? =
  33. 33.Write 3.7 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 7⁻³ (as a fraction)? =
  35. 35.What is the value of 2⁻³ (as a fraction)? =
  36. 36.What is the value of 6⁴? =
  37. 37.Write 4.7 × 10⁻⁴ as a decimal. =
  38. 38.Write (5⁸)⁶ as a single power 5ⁿ. What is n?
  39. 39.2 × 10² =
  40. 40.What is the value of 3²? =

Answer key

  1. 2
  2. 1/3
  3. 1/2
  4. 3
  5. 3
  6. 1000
  7. 15625
  8. 8
  9. 1/64
  10. 8
  11. 1000
  12. 0.00034
  13. 7/3
  14. 12
  15. 2
  16. 65536
  17. 46000000
  18. 100
  19. 0.0072
  20. 7
  21. 4
  22. 1/256
  23. 0.06
  24. 240000
  25. 6200000
  26. 63
  27. 4
  28. 1
  29. 9
  30. 2
  31. 59049
  32. 1
  33. 0.37
  34. 1/343
  35. 1/8
  36. 1296
  37. 0.00047
  38. 48
  39. 200
  40. 9

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