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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 463 · 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 3⁶ × 3⁻¹? =
  2. 2.What is the value of (5/8)⁻¹? =
  3. 3.Write 3⁴ × 3⁴ as a single power 3ⁿ. What is n?
  4. 4.Write 8.8 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 3⁻² (as a fraction)? =
  6. 6.Write (7⁷)⁴ as a single power 7ⁿ. What is n?
  7. 7.Write 2.7 × 10⁻³ as a decimal. =
  8. 8.Write 7¹² ÷ 7⁸ as a single power 7ⁿ. What is n?
  9. 9.Write 2.8 × 10⁻³ as a decimal. =
  10. 10.Write (4⁷)⁸ as a single power 4ⁿ. What is n?
  11. 11.What is the value of 8⁻¹ (as a fraction)? =
  12. 12.What is the value of (2/5)⁻²? =
  13. 13.What is the value of 7³? =
  14. 14.What is the value of 3²? =
  15. 15.Write 9¹³ ÷ 9⁸ as a single power 9ⁿ. What is n?
  16. 16.Write 5,30,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  17. 17.What is the value of 2⁻⁶ (as a fraction)? =
  18. 18.7.7 × 10⁶ =
  19. 19.Write 8⁶ × 8⁸ as a single power 8ⁿ. What is n?
  20. 20.9.9 × 10³ =
  21. 21.9.1 × 10⁵ =
  22. 22.Write 5¹² ÷ 5⁶ as a single power 5ⁿ. What is n?
  23. 23.4.4 × 10² =
  24. 24.What is the value of 4⁻¹ (as a fraction)? =
  25. 25.Write 5⁵ ÷ 5² as a single power 5ⁿ. What is n?
  26. 26.Write (5³)⁹ as a single power 5ⁿ. What is n?
  27. 27.What is the value of 3⁴ × 3⁻⁵? =
  28. 28.What is the value of 5⁶? =
  29. 29.What is the value of 2³ × 2⁻⁴? =
  30. 30.What is the value of 2⁸? =
  31. 31.What is the value of (5/9)⁻²? =
  32. 32.What is the value of 7⁻² (as a fraction)? =
  33. 33.What is the value of (5/6)⁻¹? =
  34. 34.Write (8⁸)⁵ as a single power 8ⁿ. What is n?
  35. 35.Write 7 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 7⁻¹ (as a fraction)? =
  37. 37.Write 2.7 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 9²? =
  39. 39.Write (2⁹)⁶ as a single power 2ⁿ. What is n?
  40. 40.Write 3.7 × 10⁻³ as a decimal. =

Answer key

  1. 243
  2. 8/5
  3. 8
  4. 0.00088
  5. 1/9
  6. 28
  7. 0.0027
  8. 4
  9. 0.0028
  10. 56
  11. 1/8
  12. 25/4
  13. 343
  14. 9
  15. 5
  16. 7
  17. 1/64
  18. 7700000
  19. 14
  20. 9900
  21. 910000
  22. 6
  23. 440
  24. 1/4
  25. 3
  26. 27
  27. 1/3
  28. 15625
  29. 1/2
  30. 256
  31. 81/25
  32. 1/49
  33. 6/5
  34. 40
  35. 0.7
  36. 1/7
  37. 0.00027
  38. 81
  39. 54
  40. 0.0037

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