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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 259 · 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 3⁵? =
  2. 2.Write 5.5 × 10⁻¹ as a decimal. =
  3. 3.Write 59,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  4. 4.Write 9.1 × 10⁻² as a decimal. =
  5. 5.What is the value of 5⁻³ (as a fraction)? =
  6. 6.What is the value of 7²? =
  7. 7.Write (5⁸)⁹ as a single power 5ⁿ. What is n?
  8. 8.What is the value of 2⁶ × 2⁻⁶? =
  9. 9.What is the value of (6/7)⁻¹? =
  10. 10.What is the value of 7⁻² (as a fraction)? =
  11. 11.Write 1.5 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 10⁴ × 10⁻¹? =
  13. 13.What is the value of 5³? =
  14. 14.Write 68,000 in standard form as 6.8 × 10ⁿ. What is n?
  15. 15.What is the value of (4/7)⁻¹? =
  16. 16.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  17. 17.What is the value of 3⁶ × 3⁻³? =
  18. 18.What is the value of 2⁻⁴ (as a fraction)? =
  19. 19.What is the value of 3¹ × 3⁻³? =
  20. 20.Write 4.3 × 10⁻⁴ as a decimal. =
  21. 21.Write (4²)² as a single power 4ⁿ. What is n?
  22. 22.What is the value of 4⁷? =
  23. 23.Write 7⁹ × 7⁸ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 9³? =
  25. 25.Write 2⁸ × 2⁴ as a single power 2ⁿ. What is n?
  26. 26.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  27. 27.What is the value of 5² × 5⁻⁶? =
  28. 28.Write 4,900 in standard form as 4.9 × 10ⁿ. What is n?
  29. 29.What is the value of (4/5)⁻²? =
  30. 30.Write 4⁶ × 4⁴ as a single power 4ⁿ. What is n?
  31. 31.Write 4 × 10⁻⁴ as a decimal. =
  32. 32.Write 2.9 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 2⁻⁵ (as a fraction)? =
  34. 34.Write 2,300 in standard form as 2.3 × 10ⁿ. What is n?
  35. 35.What is the value of 2⁸? =
  36. 36.Write 6.2 × 10⁻³ as a decimal. =
  37. 37.What is the value of (4/7)⁻²? =
  38. 38.2.8 × 10⁶ =
  39. 39.What is the value of 2⁷? =
  40. 40.What is the value of 8⁻³ (as a fraction)? =

Answer key

  1. 243
  2. 0.55
  3. 6
  4. 0.091
  5. 1/125
  6. 49
  7. 72
  8. 1
  9. 7/6
  10. 1/49
  11. 0.15
  12. 1000
  13. 125
  14. 4
  15. 7/4
  16. 7
  17. 27
  18. 1/16
  19. 1/9
  20. 0.00043
  21. 4
  22. 16384
  23. 17
  24. 729
  25. 12
  26. 6
  27. 1/625
  28. 3
  29. 25/16
  30. 10
  31. 0.0004
  32. 0.29
  33. 1/32
  34. 3
  35. 256
  36. 0.0062
  37. 49/16
  38. 2800000
  39. 128
  40. 1/512

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