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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 283 · 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 9³? =
  2. 2.What is the value of 10³? =
  3. 3.What is the value of 3²? =
  4. 4.Write 2.2 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 3⁶ × 3⁻⁶? =
  6. 6.Write 870 in standard form as 8.7 × 10ⁿ. What is n?
  7. 7.Write 5.4 × 10⁻² as a decimal. =
  8. 8.4.8 × 10⁶ =
  9. 9.What is the value of 10⁴ × 10⁻²? =
  10. 10.What is the value of 5⁻¹ (as a fraction)? =
  11. 11.2.9 × 10⁷ =
  12. 12.What is the value of 2²? =
  13. 13.Write 8.8 × 10⁻³ as a decimal. =
  14. 14.What is the value of 5¹ × 5⁻⁴? =
  15. 15.Write 44,000 in standard form as 4.4 × 10ⁿ. What is n?
  16. 16.What is the value of 2¹ × 2⁻²? =
  17. 17.What is the value of 2¹⁵? =
  18. 18.Write 1.4 × 10⁻² as a decimal. =
  19. 19.What is the value of 2⁻⁵ (as a fraction)? =
  20. 20.What is the value of 3⁻⁶ (as a fraction)? =
  21. 21.What is the value of (2/3)⁻²? =
  22. 22.What is the value of 3⁴ × 3⁻¹? =
  23. 23.What is the value of 2³? =
  24. 24.Write 2,90,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  25. 25.What is the value of 2⁻² (as a fraction)? =
  26. 26.Write 8¹⁰ ÷ 8² as a single power 8ⁿ. What is n?
  27. 27.Write (3⁷)⁷ as a single power 3ⁿ. What is n?
  28. 28.4 × 10² =
  29. 29.What is the value of 3¹ × 3⁻¹? =
  30. 30.What is the value of 2¹²? =
  31. 31.Write (7⁶)⁴ as a single power 7ⁿ. What is n?
  32. 32.Write 6.4 × 10⁻² as a decimal. =
  33. 33.What is the value of (8/9)⁻²? =
  34. 34.2.5 × 10³ =
  35. 35.What is the value of 2³ × 2⁻⁵? =
  36. 36.Write 1.4 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 2⁶? =
  38. 38.2.7 × 10⁵ =
  39. 39.What is the value of 10⁶ × 10⁻²? =
  40. 40.Write 8.6 × 10⁻² as a decimal. =

Answer key

  1. 729
  2. 1000
  3. 9
  4. 0.00022
  5. 1
  6. 2
  7. 0.054
  8. 4800000
  9. 100
  10. 1/5
  11. 29000000
  12. 4
  13. 0.0088
  14. 1/125
  15. 4
  16. 1/2
  17. 32768
  18. 0.014
  19. 1/32
  20. 1/729
  21. 9/4
  22. 27
  23. 8
  24. 7
  25. 1/4
  26. 8
  27. 49
  28. 400
  29. 1
  30. 4096
  31. 24
  32. 0.064
  33. 81/64
  34. 2500
  35. 1/4
  36. 0.14
  37. 64
  38. 270000
  39. 10000
  40. 0.086

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