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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 438 · 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 3.3 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 6⁻¹ (as a fraction)? =
  3. 3.Write 7.9 × 10⁻⁴ as a decimal. =
  4. 4.Write (8²)⁹ as a single power 8ⁿ. What is n?
  5. 5.Write 5⁴ × 5⁸ as a single power 5ⁿ. What is n?
  6. 6.What is the value of 3⁻⁴ (as a fraction)? =
  7. 7.What is the value of 9⁵? =
  8. 8.What is the value of 3⁻³ (as a fraction)? =
  9. 9.6.3 × 10² =
  10. 10.2.1 × 10⁵ =
  11. 11.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  12. 12.Write 7⁸ × 7⁶ as a single power 7ⁿ. What is n?
  13. 13.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?
  14. 14.What is the value of 10³ × 10⁻⁶? =
  15. 15.5.6 × 10⁴ =
  16. 16.What is the value of 2⁹? =
  17. 17.What is the value of 5¹ × 5⁻²? =
  18. 18.Write 900 in standard form as 9 × 10ⁿ. What is n?
  19. 19.What is the value of 2²? =
  20. 20.What is the value of 5² × 5⁻²? =
  21. 21.What is the value of 10¹ × 10⁻²? =
  22. 22.Write 5.3 × 10⁻⁴ as a decimal. =
  23. 23.Write 8.1 × 10⁻² as a decimal. =
  24. 24.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  25. 25.Write 9⁴ × 9⁸ as a single power 9ⁿ. What is n?
  26. 26.Write 8³ × 8² as a single power 8ⁿ. What is n?
  27. 27.What is the value of (1/3)⁻²? =
  28. 28.Write 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
  29. 29.Write 3 × 10⁻³ as a decimal. =
  30. 30.Write 7⁷ × 7⁸ as a single power 7ⁿ. What is n?
  31. 31.Write 2,50,000 in standard form as 2.5 × 10ⁿ. What is n?
  32. 32.Write (9⁷)⁵ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 3² × 3⁻⁶? =
  34. 34.What is the value of 5⁴? =
  35. 35.Write 1.8 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 6³? =
  37. 37.5.2 × 10⁶ =
  38. 38.Write 65,000 in standard form as 6.5 × 10ⁿ. What is n?
  39. 39.Write 9⁹ × 9⁸ as a single power 9ⁿ. What is n?
  40. 40.Write 9.7 × 10⁻³ as a decimal. =

Answer key

  1. 0.00033
  2. 1/6
  3. 0.00079
  4. 18
  5. 12
  6. 1/81
  7. 59049
  8. 1/27
  9. 630
  10. 210000
  11. 5
  12. 14
  13. 9
  14. 1/1000
  15. 56000
  16. 512
  17. 1/5
  18. 2
  19. 4
  20. 1
  21. 1/10
  22. 0.00053
  23. 0.081
  24. 42
  25. 12
  26. 5
  27. 9
  28. 9
  29. 0.003
  30. 15
  31. 5
  32. 35
  33. 1/81
  34. 625
  35. 0.18
  36. 216
  37. 5200000
  38. 4
  39. 17
  40. 0.0097

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