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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 91 · 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 10¹ × 10⁻⁴? =
  2. 2.What is the value of (5/8)⁻¹? =
  3. 3.5.6 × 10⁴ =
  4. 4.What is the value of 10⁴ × 10⁻⁴? =
  5. 5.Write 1.4 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2⁵ × 2⁻⁴? =
  7. 7.Write (8⁹)⁸ as a single power 8ⁿ. What is n?
  8. 8.What is the value of (1/4)⁻¹? =
  9. 9.2.4 × 10⁵ =
  10. 10.What is the value of 10⁴ × 10⁻⁵? =
  11. 11.Write 3,10,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  12. 12.What is the value of 3²? =
  13. 13.What is the value of 5⁶? =
  14. 14.What is the value of 3⁻¹ (as a fraction)? =
  15. 15.What is the value of 4⁸? =
  16. 16.What is the value of 10² × 10⁻³? =
  17. 17.3.3 × 10⁷ =
  18. 18.What is the value of 6⁴? =
  19. 19.Write 4.3 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 2⁶ × 2⁻²? =
  21. 21.What is the value of 3³ × 3⁻⁵? =
  22. 22.Write (6⁷)³ as a single power 6ⁿ. What is n?
  23. 23.Write 5 × 10⁻⁴ as a decimal. =
  24. 24.Write 5.8 × 10⁻¹ as a decimal. =
  25. 25.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  26. 26.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  27. 27.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
  28. 28.What is the value of 3⁴ × 3⁻⁶? =
  29. 29.6.7 × 10² =
  30. 30.What is the value of 7⁻³ (as a fraction)? =
  31. 31.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
  32. 32.5.9 × 10⁵ =
  33. 33.What is the value of 8⁻² (as a fraction)? =
  34. 34.What is the value of 2⁴ × 2⁻²? =
  35. 35.Write 2.8 × 10⁻² as a decimal. =
  36. 36.What is the value of 2⁻⁵ (as a fraction)? =
  37. 37.Write 7 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 4²? =
  39. 39.What is the value of 7⁴? =
  40. 40.What is the value of 6⁻³ (as a fraction)? =

Answer key

  1. 1/1000
  2. 8/5
  3. 56000
  4. 1
  5. 0.00014
  6. 2
  7. 72
  8. 4
  9. 240000
  10. 1/10
  11. 7
  12. 9
  13. 15625
  14. 1/3
  15. 65536
  16. 1/10
  17. 33000000
  18. 1296
  19. 0.43
  20. 16
  21. 1/9
  22. 21
  23. 0.0005
  24. 0.58
  25. 15
  26. 10
  27. 2
  28. 1/9
  29. 670
  30. 1/343
  31. 3
  32. 590000
  33. 1/64
  34. 4
  35. 0.028
  36. 1/32
  37. 0.7
  38. 16
  39. 2401
  40. 1/216

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