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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 918 · 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 2,20,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  2. 2.What is the value of 4⁻¹ (as a fraction)? =
  3. 3.Write 6¹³ ÷ 6⁵ as a single power 6ⁿ. What is n?
  4. 4.Write 4.2 × 10⁻³ as a decimal. =
  5. 5.What is the value of 10⁵ × 10⁻¹? =
  6. 6.Write 2⁸ × 2⁷ as a single power 2ⁿ. What is n?
  7. 7.Write (4³)⁵ as a single power 4ⁿ. What is n?
  8. 8.What is the value of 2⁻¹ (as a fraction)? =
  9. 9.Write 7.4 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 2¹⁶? =
  11. 11.What is the value of (1/4)⁻¹? =
  12. 12.What is the value of (1/9)⁻²? =
  13. 13.Write 6.5 × 10⁻³ as a decimal. =
  14. 14.What is the value of 7⁵? =
  15. 15.What is the value of 5² × 5⁻¹? =
  16. 16.Write (5⁷)⁹ as a single power 5ⁿ. What is n?
  17. 17.Write 3.1 × 10⁻¹ as a decimal. =
  18. 18.Write 9³ × 9⁵ as a single power 9ⁿ. What is n?
  19. 19.Write 1.8 × 10⁻³ as a decimal. =
  20. 20.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  21. 21.Write (4⁷)⁶ as a single power 4ⁿ. What is n?
  22. 22.Write 58,000 in standard form as 5.8 × 10ⁿ. What is n?
  23. 23.Write 6⁸ ÷ 6⁵ as a single power 6ⁿ. What is n?
  24. 24.What is the value of 10⁵? =
  25. 25.What is the value of (1/7)⁻¹? =
  26. 26.Write (7³)⁶ as a single power 7ⁿ. What is n?
  27. 27.Write 6,800 in standard form as 6.8 × 10ⁿ. What is n?
  28. 28.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  29. 29.Write 3.8 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 5³? =
  31. 31.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  32. 32.Write 7 × 10⁻⁴ as a decimal. =
  33. 33.Write (4⁹)³ as a single power 4ⁿ. What is n?
  34. 34.What is the value of (1/8)⁻¹? =
  35. 35.What is the value of 2¹ × 2⁻⁴? =
  36. 36.Write 5.9 × 10⁻¹ as a decimal. =
  37. 37.Write 7⁷ ÷ 7² as a single power 7ⁿ. What is n?
  38. 38.Write 8.4 × 10⁻⁴ as a decimal. =
  39. 39.Write (4⁶)⁶ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 5¹ × 5⁻⁵? =

Answer key

  1. 7
  2. 1/4
  3. 8
  4. 0.0042
  5. 10000
  6. 15
  7. 15
  8. 1/2
  9. 0.00074
  10. 65536
  11. 4
  12. 81
  13. 0.0065
  14. 16807
  15. 5
  16. 63
  17. 0.31
  18. 8
  19. 0.0018
  20. 3
  21. 42
  22. 4
  23. 3
  24. 100000
  25. 7
  26. 18
  27. 3
  28. 12
  29. 0.00038
  30. 125
  31. 3
  32. 0.0007
  33. 27
  34. 8
  35. 1/8
  36. 0.59
  37. 5
  38. 0.00084
  39. 36
  40. 1/625

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