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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 486 · 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 7⁻³ (as a fraction)? =
  2. 2.What is the value of 10¹ × 10⁻⁶? =
  3. 3.Write 5¹⁰ ÷ 5² as a single power 5ⁿ. What is n?
  4. 4.What is the value of 3¹ × 3⁻³? =
  5. 5.Write 870 in standard form as 8.7 × 10ⁿ. What is n?
  6. 6.What is the value of (1/9)⁻²? =
  7. 7.4.4 × 10⁷ =
  8. 8.Write 2.3 × 10⁻³ as a decimal. =
  9. 9.Write 3¹³ ÷ 3⁸ as a single power 3ⁿ. What is n?
  10. 10.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  11. 11.Write 9.4 × 10⁻² as a decimal. =
  12. 12.What is the value of 3² × 3⁻¹? =
  13. 13.What is the value of 2⁹? =
  14. 14.Write 5 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 3²? =
  16. 16.Write 8.5 × 10⁻³ as a decimal. =
  17. 17.8.2 × 10⁴ =
  18. 18.What is the value of 8⁻¹ (as a fraction)? =
  19. 19.What is the value of (7/8)⁻¹? =
  20. 20.8.1 × 10² =
  21. 21.Write 2.3 × 10⁻⁴ as a decimal. =
  22. 22.Write 9,30,00,000 in standard form as 9.3 × 10ⁿ. What is n?
  23. 23.What is the value of (5/6)⁻¹? =
  24. 24.4.6 × 10⁴ =
  25. 25.What is the value of 2⁶ × 2⁻⁶? =
  26. 26.4.5 × 10⁵ =
  27. 27.3.1 × 10⁴ =
  28. 28.What is the value of 6⁻² (as a fraction)? =
  29. 29.What is the value of 2⁻³ (as a fraction)? =
  30. 30.What is the value of 2⁻⁸ (as a fraction)? =
  31. 31.What is the value of 2⁻¹ (as a fraction)? =
  32. 32.Write (7³)³ as a single power 7ⁿ. What is n?
  33. 33.What is the value of (8/9)⁻²? =
  34. 34.Write 1.2 × 10⁻¹ as a decimal. =
  35. 35.Write 2.9 × 10⁻⁴ as a decimal. =
  36. 36.Write 4.9 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 8⁴? =
  38. 38.What is the value of 9⁵? =
  39. 39.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 5² × 5⁻⁶? =

Answer key

  1. 1/343
  2. 1/100000
  3. 8
  4. 1/9
  5. 2
  6. 81
  7. 44000000
  8. 0.0023
  9. 5
  10. 7
  11. 0.094
  12. 3
  13. 512
  14. 0.0005
  15. 9
  16. 0.0085
  17. 82000
  18. 1/8
  19. 8/7
  20. 810
  21. 0.00023
  22. 7
  23. 6/5
  24. 46000
  25. 1
  26. 450000
  27. 31000
  28. 1/36
  29. 1/8
  30. 1/256
  31. 1/2
  32. 9
  33. 81/64
  34. 0.12
  35. 0.00029
  36. 0.49
  37. 4096
  38. 59049
  39. 12
  40. 1/625

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