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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 612 · 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 (2/3)⁻²? =
  2. 2.Write 2.9 × 10⁻² as a decimal. =
  3. 3.What is the value of 5⁴? =
  4. 4.Write 4⁶ × 4⁴ as a single power 4ⁿ. What is n?
  5. 5.What is the value of 2⁸? =
  6. 6.Write 8.7 × 10⁻² as a decimal. =
  7. 7.Write 2.9 × 10⁻⁴ as a decimal. =
  8. 8.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 4³? =
  10. 10.Write 3⁷ ÷ 3³ as a single power 3ⁿ. What is n?
  11. 11.What is the value of 5³ × 5⁻³? =
  12. 12.Write 3⁴ × 3⁸ as a single power 3ⁿ. What is n?
  13. 13.Write 5.5 × 10⁻² as a decimal. =
  14. 14.What is the value of 2⁻³ (as a fraction)? =
  15. 15.3.2 × 10⁴ =
  16. 16.1.6 × 10² =
  17. 17.What is the value of 7⁻³ (as a fraction)? =
  18. 18.What is the value of 2⁷? =
  19. 19.Write (7⁸)⁸ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 4⁵? =
  21. 21.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 10⁻¹ (as a fraction)? =
  23. 23.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  24. 24.Write (6⁶)³ as a single power 6ⁿ. What is n?
  25. 25.What is the value of 5⁻³ (as a fraction)? =
  26. 26.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
  27. 27.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  28. 28.Write 3³ × 3² as a single power 3ⁿ. What is n?
  29. 29.What is the value of 4⁸? =
  30. 30.Write 69,00,000 in standard form as 6.9 × 10ⁿ. What is n?
  31. 31.What is the value of 3¹⁰? =
  32. 32.What is the value of 2⁵ × 2⁻²? =
  33. 33.What is the value of (6/7)⁻¹? =
  34. 34.What is the value of 3⁻⁵ (as a fraction)? =
  35. 35.Write 9.8 × 10⁻³ as a decimal. =
  36. 36.Write 45,000 in standard form as 4.5 × 10ⁿ. What is n?
  37. 37.What is the value of 2⁴ × 2⁻³? =
  38. 38.Write 6.1 × 10⁻⁴ as a decimal. =
  39. 39.Write 110 in standard form as 1.1 × 10ⁿ. What is n?
  40. 40.What is the value of 3⁵? =

Answer key

  1. 9/4
  2. 0.029
  3. 625
  4. 10
  5. 256
  6. 0.087
  7. 0.00029
  8. 3
  9. 64
  10. 4
  11. 1
  12. 12
  13. 0.055
  14. 1/8
  15. 32000
  16. 160
  17. 1/343
  18. 128
  19. 64
  20. 1024
  21. 6
  22. 1/10
  23. 2
  24. 18
  25. 1/125
  26. 12
  27. 3
  28. 5
  29. 65536
  30. 6
  31. 59049
  32. 8
  33. 7/6
  34. 1/243
  35. 0.0098
  36. 4
  37. 2
  38. 0.00061
  39. 2
  40. 243

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