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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 499 · 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. 1.2 × 10² =
  2. 2.What is the value of (2/3)⁻²? =
  3. 3.What is the value of 3⁻⁴ (as a fraction)? =
  4. 4.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 5³ × 5⁻³? =
  6. 6.What is the value of 3⁵ × 3⁻⁵? =
  7. 7.What is the value of 2⁻³ (as a fraction)? =
  8. 8.What is the value of 10² × 10⁻²? =
  9. 9.What is the value of 4⁻¹ (as a fraction)? =
  10. 10.What is the value of 7²? =
  11. 11.What is the value of 2⁸? =
  12. 12.What is the value of 10² × 10⁻⁴? =
  13. 13.Write 4,100 in standard form as 4.1 × 10ⁿ. What is n?
  14. 14.What is the value of (2/9)⁻²? =
  15. 15.Write 1,70,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  16. 16.Write 3.2 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 3¹ × 3⁻³? =
  18. 18.What is the value of 2⁴ × 2⁻⁵? =
  19. 19.Write 5.1 × 10⁻² as a decimal. =
  20. 20.What is the value of 3³? =
  21. 21.What is the value of 5⁶? =
  22. 22.What is the value of 2⁻⁸ (as a fraction)? =
  23. 23.2.1 × 10⁵ =
  24. 24.What is the value of 5¹ × 5⁻¹? =
  25. 25.What is the value of 2⁻¹ (as a fraction)? =
  26. 26.Write 2.2 × 10⁻¹ as a decimal. =
  27. 27.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  28. 28.5.7 × 10³ =
  29. 29.Write 9⁶ × 9⁶ as a single power 9ⁿ. What is n?
  30. 30.Write 3.4 × 10⁻⁴ as a decimal. =
  31. 31.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  32. 32.What is the value of (5/6)⁻¹? =
  33. 33.What is the value of 10⁻² (as a fraction)? =
  34. 34.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
  35. 35.Write 5.3 × 10⁻² as a decimal. =
  36. 36.Write (4⁷)⁸ as a single power 4ⁿ. What is n?
  37. 37.1.3 × 10⁶ =
  38. 38.Write 5.5 × 10⁻² as a decimal. =
  39. 39.5.3 × 10⁶ =
  40. 40.What is the value of 6⁴? =

Answer key

  1. 200
  2. 9/4
  3. 1/81
  4. 13
  5. 1
  6. 1
  7. 1/8
  8. 1
  9. 1/4
  10. 49
  11. 256
  12. 1/100
  13. 3
  14. 81/4
  15. 7
  16. 0.32
  17. 1/9
  18. 1/2
  19. 0.051
  20. 27
  21. 15625
  22. 1/256
  23. 210000
  24. 1
  25. 1/2
  26. 0.22
  27. 7
  28. 5700
  29. 12
  30. 0.00034
  31. 5
  32. 6/5
  33. 1/100
  34. 12
  35. 0.053
  36. 56
  37. 1300000
  38. 0.055
  39. 5300000
  40. 1296

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