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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 572 · 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 7⁵? =
  2. 2.Write 7⁷ ÷ 7⁴ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 3⁶ × 3⁻²? =
  4. 4.Write 6.5 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 6⁵? =
  6. 6.Write 3¹² ÷ 3⁹ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 2⁻³ (as a fraction)? =
  8. 8.What is the value of 2¹⁴? =
  9. 9.4.6 × 10⁷ =
  10. 10.What is the value of 3⁻¹ (as a fraction)? =
  11. 11.Write 3.5 × 10⁻² as a decimal. =
  12. 12.What is the value of 2¹²? =
  13. 13.Write 2² × 2⁸ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 4⁴? =
  15. 15.What is the value of 2⁴ × 2⁻¹? =
  16. 16.Write 7.3 × 10⁻⁴ as a decimal. =
  17. 17.Write (4³)² as a single power 4ⁿ. What is n?
  18. 18.6.5 × 10⁵ =
  19. 19.What is the value of 2²? =
  20. 20.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
  21. 21.Write 6.5 × 10⁻⁴ as a decimal. =
  22. 22.2.3 × 10⁵ =
  23. 23.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  24. 24.What is the value of 5¹ × 5⁻¹? =
  25. 25.What is the value of (1/7)⁻²? =
  26. 26.Write 4.4 × 10⁻¹ as a decimal. =
  27. 27.Write (5⁸)⁷ as a single power 5ⁿ. What is n?
  28. 28.4.3 × 10⁷ =
  29. 29.What is the value of 4⁻³ (as a fraction)? =
  30. 30.Write 7.7 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 3¹⁰? =
  32. 32.9.4 × 10⁶ =
  33. 33.Write 8⁷ × 8³ as a single power 8ⁿ. What is n?
  34. 34.6.7 × 10⁷ =
  35. 35.What is the value of 2⁵ × 2⁻¹? =
  36. 36.6 × 10³ =
  37. 37.What is the value of 5¹ × 5⁻²? =
  38. 38.Write 8⁹ ÷ 8³ as a single power 8ⁿ. What is n?
  39. 39.What is the value of 3¹ × 3⁻³? =
  40. 40.What is the value of 8⁻³ (as a fraction)? =

Answer key

  1. 16807
  2. 3
  3. 81
  4. 0.65
  5. 7776
  6. 3
  7. 1/8
  8. 16384
  9. 46000000
  10. 1/3
  11. 0.035
  12. 4096
  13. 10
  14. 256
  15. 8
  16. 0.00073
  17. 6
  18. 650000
  19. 4
  20. 3
  21. 0.00065
  22. 230000
  23. 6
  24. 1
  25. 49
  26. 0.44
  27. 56
  28. 43000000
  29. 1/64
  30. 0.00077
  31. 59049
  32. 9400000
  33. 10
  34. 67000000
  35. 16
  36. 6000
  37. 1/5
  38. 6
  39. 1/9
  40. 1/512

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