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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 52 · 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.Write 2,100 in standard form as 2.1 × 10ⁿ. What is n?
  2. 2.1.4 × 10⁷ =
  3. 3.Write 340 in standard form as 3.4 × 10ⁿ. What is n?
  4. 4.Write 36,000 in standard form as 3.6 × 10ⁿ. What is n?
  5. 5.What is the value of 2⁵? =
  6. 6.What is the value of 5⁻¹ (as a fraction)? =
  7. 7.Write 7⁵ × 7⁸ as a single power 7ⁿ. What is n?
  8. 8.Write 5.5 × 10⁻² as a decimal. =
  9. 9.Write 7,500 in standard form as 7.5 × 10ⁿ. What is n?
  10. 10.What is the value of 3²? =
  11. 11.Write 68,000 in standard form as 6.8 × 10ⁿ. What is n?
  12. 12.Write (9⁶)⁸ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 6⁴? =
  14. 14.What is the value of 10⁵ × 10⁻³? =
  15. 15.4.5 × 10⁶ =
  16. 16.What is the value of 9²? =
  17. 17.Write 5.1 × 10⁻⁴ as a decimal. =
  18. 18.6.8 × 10⁶ =
  19. 19.Write 3¹¹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  20. 20.What is the value of (4/5)⁻¹? =
  21. 21.What is the value of 2⁴ × 2⁻⁴? =
  22. 22.What is the value of 10³? =
  23. 23.What is the value of 7⁻¹ (as a fraction)? =
  24. 24.What is the value of 2¹⁶? =
  25. 25.What is the value of 2³ × 2⁻¹? =
  26. 26.What is the value of 4⁵? =
  27. 27.Write 1.6 × 10⁻¹ as a decimal. =
  28. 28.Write 6,200 in standard form as 6.2 × 10ⁿ. What is n?
  29. 29.What is the value of 5⁵? =
  30. 30.Write 2¹¹ ÷ 2⁴ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 2⁵ × 2⁻⁵? =
  32. 32.What is the value of 4⁸? =
  33. 33.Write 4.3 × 10⁻³ as a decimal. =
  34. 34.Write 5.6 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2⁴? =
  36. 36.What is the value of 5⁻³ (as a fraction)? =
  37. 37.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 7⁵? =
  39. 39.Write 7 × 10⁻⁴ as a decimal. =
  40. 40.5 × 10² =

Answer key

  1. 3
  2. 14000000
  3. 2
  4. 4
  5. 32
  6. 1/5
  7. 13
  8. 0.055
  9. 3
  10. 9
  11. 4
  12. 48
  13. 1296
  14. 100
  15. 4500000
  16. 81
  17. 0.00051
  18. 6800000
  19. 4
  20. 5/4
  21. 1
  22. 1000
  23. 1/7
  24. 65536
  25. 4
  26. 1024
  27. 0.16
  28. 3
  29. 3125
  30. 7
  31. 1
  32. 65536
  33. 0.0043
  34. 0.0056
  35. 16
  36. 1/125
  37. 8
  38. 16807
  39. 0.0007
  40. 500

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