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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 433 · 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 7⁻¹ (as a fraction)? =
  2. 2.Write 67,000 in standard form as 6.7 × 10ⁿ. What is n?
  3. 3.4.4 × 10² =
  4. 4.What is the value of 3⁻⁵ (as a fraction)? =
  5. 5.What is the value of 9⁴? =
  6. 6.Write 3⁷ × 3⁹ as a single power 3ⁿ. What is n?
  7. 7.Write 6¹¹ ÷ 6³ as a single power 6ⁿ. What is n?
  8. 8.1.1 × 10³ =
  9. 9.Write 9¹² ÷ 9³ as a single power 9ⁿ. What is n?
  10. 10.Write 4³ × 4⁴ as a single power 4ⁿ. What is n?
  11. 11.9 × 10³ =
  12. 12.What is the value of 9⁻¹ (as a fraction)? =
  13. 13.Write 3¹⁵ ÷ 3⁸ as a single power 3ⁿ. What is n?
  14. 14.Write 1.1 × 10⁻³ as a decimal. =
  15. 15.What is the value of 2³ × 2⁻⁵? =
  16. 16.What is the value of 5⁶ × 5⁻¹? =
  17. 17.Write 1.1 × 10⁻² as a decimal. =
  18. 18.What is the value of 2³ × 2⁻³? =
  19. 19.8.8 × 10³ =
  20. 20.What is the value of 10³ × 10⁻⁵? =
  21. 21.Write (3²)⁷ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 6⁵? =
  23. 23.9.2 × 10⁵ =
  24. 24.What is the value of 8²? =
  25. 25.Write 7¹² ÷ 7⁸ as a single power 7ⁿ. What is n?
  26. 26.Write 3⁹ ÷ 3⁴ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 9⁻³ (as a fraction)? =
  28. 28.Write 4.6 × 10⁻³ as a decimal. =
  29. 29.Write 9,700 in standard form as 9.7 × 10ⁿ. What is n?
  30. 30.4.8 × 10² =
  31. 31.Write 62,00,000 in standard form as 6.2 × 10ⁿ. What is n?
  32. 32.7.2 × 10² =
  33. 33.Write 7,90,000 in standard form as 7.9 × 10ⁿ. What is n?
  34. 34.Write 6.2 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 4⁻⁴ (as a fraction)? =
  36. 36.What is the value of 2⁸? =
  37. 37.What is the value of 10⁴ × 10⁻¹? =
  38. 38.What is the value of 2¹³? =
  39. 39.Write 56,000 in standard form as 5.6 × 10ⁿ. What is n?
  40. 40.Write 4.3 × 10⁻³ as a decimal. =

Answer key

  1. 1/7
  2. 4
  3. 440
  4. 1/243
  5. 6561
  6. 16
  7. 8
  8. 1100
  9. 9
  10. 7
  11. 9000
  12. 1/9
  13. 7
  14. 0.0011
  15. 1/4
  16. 3125
  17. 0.011
  18. 1
  19. 8800
  20. 1/100
  21. 14
  22. 7776
  23. 920000
  24. 64
  25. 4
  26. 5
  27. 1/729
  28. 0.0046
  29. 3
  30. 480
  31. 6
  32. 720
  33. 5
  34. 0.62
  35. 1/256
  36. 256
  37. 1000
  38. 8192
  39. 4
  40. 0.0043

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