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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 555 · 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 8.8 × 10⁻¹ as a decimal. =
  2. 2.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 3⁻⁶ (as a fraction)? =
  4. 4.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 10⁴? =
  6. 6.What is the value of 3³? =
  7. 7.Write 7⁷ ÷ 7² as a single power 7ⁿ. What is n?
  8. 8.Write 4.8 × 10⁻¹ as a decimal. =
  9. 9.Write 8.1 × 10⁻³ as a decimal. =
  10. 10.Write 470 in standard form as 4.7 × 10ⁿ. What is n?
  11. 11.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
  12. 12.What is the value of 4²? =
  13. 13.Write 1.8 × 10⁻² as a decimal. =
  14. 14.Write 3 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 2⁶? =
  16. 16.What is the value of 4⁻⁴ (as a fraction)? =
  17. 17.Write (2⁶)⁷ as a single power 2ⁿ. What is n?
  18. 18.What is the value of 10² × 10⁻⁶? =
  19. 19.What is the value of 5⁵? =
  20. 20.What is the value of 10³ × 10⁻⁶? =
  21. 21.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  22. 22.Write 7¹³ ÷ 7⁹ as a single power 7ⁿ. What is n?
  23. 23.Write (8³)³ as a single power 8ⁿ. What is n?
  24. 24.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  25. 25.Write 13,000 in standard form as 1.3 × 10ⁿ. What is n?
  26. 26.Write 7,20,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  27. 27.Write 2,00,000 in standard form as 2 × 10ⁿ. What is n?
  28. 28.Write (8²)² as a single power 8ⁿ. What is n?
  29. 29.Write 8⁸ × 8⁷ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 10⁵? =
  31. 31.Write 2⁸ ÷ 2⁵ as a single power 2ⁿ. What is n?
  32. 32.What is the value of (7/9)⁻¹? =
  33. 33.What is the value of 5⁻¹ (as a fraction)? =
  34. 34.What is the value of 10⁶ × 10⁻²? =
  35. 35.Write 3.2 × 10⁻³ as a decimal. =
  36. 36.Write 5⁷ ÷ 5² as a single power 5ⁿ. What is n?
  37. 37.What is the value of (2/9)⁻²? =
  38. 38.Write 6 × 10⁻¹ as a decimal. =
  39. 39.Write 9,60,00,000 in standard form as 9.6 × 10ⁿ. What is n?
  40. 40.3.7 × 10³ =

Answer key

  1. 0.88
  2. 11
  3. 1/729
  4. 12
  5. 10000
  6. 27
  7. 5
  8. 0.48
  9. 0.0081
  10. 2
  11. 5
  12. 16
  13. 0.018
  14. 0.0003
  15. 64
  16. 1/256
  17. 42
  18. 1/10000
  19. 3125
  20. 1/1000
  21. 2
  22. 4
  23. 9
  24. 7
  25. 4
  26. 7
  27. 5
  28. 4
  29. 15
  30. 100000
  31. 3
  32. 9/7
  33. 1/5
  34. 10000
  35. 0.0032
  36. 5
  37. 81/4
  38. 0.6
  39. 7
  40. 3700

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