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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 452 · 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 5³ × 5⁻¹? =
  2. 2.What is the value of 3⁵? =
  3. 3.Write 540 in standard form as 5.4 × 10ⁿ. What is n?
  4. 4.Write 2¹³ ÷ 2⁴ as a single power 2ⁿ. What is n?
  5. 5.What is the value of 6⁻³ (as a fraction)? =
  6. 6.What is the value of 7⁴? =
  7. 7.Write 6⁵ × 6⁶ as a single power 6ⁿ. What is n?
  8. 8.Write 3 × 10⁻³ as a decimal. =
  9. 9.Write 5,00,000 in standard form as 5 × 10ⁿ. What is n?
  10. 10.Write (6⁹)⁹ as a single power 6ⁿ. What is n?
  11. 11.What is the value of 3³ × 3⁻⁵? =
  12. 12.What is the value of 5⁵ × 5⁻⁶? =
  13. 13.What is the value of 3² × 3⁻⁶? =
  14. 14.Write 72,000 in standard form as 7.2 × 10ⁿ. What is n?
  15. 15.What is the value of 5⁵ × 5⁻⁵? =
  16. 16.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 8²? =
  18. 18.Write 3⁸ × 3² as a single power 3ⁿ. What is n?
  19. 19.What is the value of 2¹¹? =
  20. 20.What is the value of 3³? =
  21. 21.Write 9⁹ × 9² as a single power 9ⁿ. What is n?
  22. 22.Write 7.8 × 10⁻¹ as a decimal. =
  23. 23.7.8 × 10⁷ =
  24. 24.Write 5,30,000 in standard form as 5.3 × 10ⁿ. What is n?
  25. 25.Write 7 × 10⁻² as a decimal. =
  26. 26.What is the value of (1/7)⁻¹? =
  27. 27.What is the value of 9⁴? =
  28. 28.Write 2.3 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 4⁷? =
  30. 30.Write 5⁴ × 5⁸ as a single power 5ⁿ. What is n?
  31. 31.Write (6⁹)⁷ as a single power 6ⁿ. What is n?
  32. 32.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  33. 33.What is the value of 9²? =
  34. 34.Write 910 in standard form as 9.1 × 10ⁿ. What is n?
  35. 35.What is the value of 5³? =
  36. 36.What is the value of 5²? =
  37. 37.What is the value of 5⁴ × 5⁻²? =
  38. 38.What is the value of 2¹ × 2⁻²? =
  39. 39.What is the value of 4²? =
  40. 40.What is the value of 2¹⁶? =

Answer key

  1. 25
  2. 243
  3. 2
  4. 9
  5. 1/216
  6. 2401
  7. 11
  8. 0.003
  9. 5
  10. 81
  11. 1/9
  12. 1/5
  13. 1/81
  14. 4
  15. 1
  16. 9
  17. 64
  18. 10
  19. 2048
  20. 27
  21. 11
  22. 0.78
  23. 78000000
  24. 5
  25. 0.07
  26. 7
  27. 6561
  28. 0.23
  29. 16384
  30. 12
  31. 63
  32. 2
  33. 81
  34. 2
  35. 125
  36. 25
  37. 25
  38. 1/2
  39. 16
  40. 65536

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