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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 648 · 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 (2³)⁴ as a single power 2ⁿ. What is n?
  2. 2.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
  3. 3.Write 9.8 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 10¹ × 10⁻⁵? =
  5. 5.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  6. 6.Write 7⁸ × 7⁸ as a single power 7ⁿ. What is n?
  7. 7.Write 2.8 × 10⁻³ as a decimal. =
  8. 8.6.6 × 10⁴ =
  9. 9.Write 6.9 × 10⁻³ as a decimal. =
  10. 10.What is the value of 8⁻¹ (as a fraction)? =
  11. 11.Write 9⁹ ÷ 9² as a single power 9ⁿ. What is n?
  12. 12.What is the value of 10²? =
  13. 13.What is the value of 10⁴ × 10⁻²? =
  14. 14.What is the value of 3⁵ × 3⁻⁵? =
  15. 15.What is the value of (2/3)⁻²? =
  16. 16.Write 3.9 × 10⁻² as a decimal. =
  17. 17.What is the value of 2⁻⁵ (as a fraction)? =
  18. 18.Write 33,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  19. 19.Write 4⁶ ÷ 4⁴ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 2⁻¹ (as a fraction)? =
  21. 21.Write 5.9 × 10⁻² as a decimal. =
  22. 22.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  23. 23.Write 3,30,000 in standard form as 3.3 × 10ⁿ. What is n?
  24. 24.What is the value of 7⁵? =
  25. 25.What is the value of (1/8)⁻²? =
  26. 26.What is the value of 3⁶ × 3⁻²? =
  27. 27.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  28. 28.Write 8 × 10⁻² as a decimal. =
  29. 29.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  30. 30.What is the value of 5² × 5⁻²? =
  31. 31.8.4 × 10⁷ =
  32. 32.What is the value of 5⁵ × 5⁻¹? =
  33. 33.Write (3²)³ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 4⁻⁴ (as a fraction)? =
  35. 35.Write 2.9 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 3² × 3⁻⁵? =
  37. 37.Write 7⁴ × 7⁸ as a single power 7ⁿ. What is n?
  38. 38.Write 6,60,000 in standard form as 6.6 × 10ⁿ. What is n?
  39. 39.What is the value of (7/8)⁻¹? =
  40. 40.What is the value of 8⁵? =

Answer key

  1. 12
  2. 3
  3. 0.00098
  4. 1/10000
  5. 9
  6. 16
  7. 0.0028
  8. 66000
  9. 0.0069
  10. 1/8
  11. 7
  12. 100
  13. 100
  14. 1
  15. 9/4
  16. 0.039
  17. 1/32
  18. 6
  19. 2
  20. 1/2
  21. 0.059
  22. 3
  23. 5
  24. 16807
  25. 64
  26. 81
  27. 13
  28. 0.08
  29. 9
  30. 1
  31. 84000000
  32. 625
  33. 6
  34. 1/256
  35. 0.29
  36. 1/27
  37. 12
  38. 5
  39. 8/7
  40. 32768

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