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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 181 · 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.What is the value of 4³? =
  2. 2.What is the value of 10¹ × 10⁻²? =
  3. 3.Write (9⁴)⁶ as a single power 9ⁿ. What is n?
  4. 4.What is the value of 2⁻⁷ (as a fraction)? =
  5. 5.What is the value of 5⁵ × 5⁻¹? =
  6. 6.What is the value of 5² × 5⁻¹? =
  7. 7.Write 8.3 × 10⁻² as a decimal. =
  8. 8.Write 8⁵ × 8⁸ as a single power 8ⁿ. What is n?
  9. 9.Write 4.8 × 10⁻² as a decimal. =
  10. 10.Write 5¹³ ÷ 5⁹ as a single power 5ⁿ. What is n?
  11. 11.What is the value of 2¹ × 2⁻³? =
  12. 12.9.6 × 10⁵ =
  13. 13.Write 2 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 3⁶? =
  15. 15.What is the value of (4/9)⁻¹? =
  16. 16.3.6 × 10⁷ =
  17. 17.What is the value of 7⁻³ (as a fraction)? =
  18. 18.3.1 × 10⁶ =
  19. 19.What is the value of 3⁶ × 3⁻³? =
  20. 20.Write 4⁶ × 4⁴ as a single power 4ⁿ. What is n?
  21. 21.What is the value of 2³ × 2⁻¹? =
  22. 22.What is the value of 2¹⁰? =
  23. 23.Write 2 × 10⁻³ as a decimal. =
  24. 24.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  25. 25.What is the value of 3¹ × 3⁻¹? =
  26. 26.What is the value of 2⁶? =
  27. 27.Write 470 in standard form as 4.7 × 10ⁿ. What is n?
  28. 28.What is the value of (2/7)⁻¹? =
  29. 29.What is the value of (3/5)⁻²? =
  30. 30.What is the value of 3⁴ × 3⁻²? =
  31. 31.Write 7,90,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  32. 32.Write 7.9 × 10⁻⁴ as a decimal. =
  33. 33.Write 4.7 × 10⁻² as a decimal. =
  34. 34.What is the value of 6⁵? =
  35. 35.Write 7⁵ × 7⁷ as a single power 7ⁿ. What is n?
  36. 36.What is the value of (2/3)⁻¹? =
  37. 37.What is the value of 6⁶? =
  38. 38.What is the value of 10⁻¹ (as a fraction)? =
  39. 39.What is the value of 2¹ × 2⁻⁶? =
  40. 40.What is the value of 2⁶ × 2⁻⁵? =

Answer key

  1. 64
  2. 1/10
  3. 24
  4. 1/128
  5. 625
  6. 5
  7. 0.083
  8. 13
  9. 0.048
  10. 4
  11. 1/4
  12. 960000
  13. 0.2
  14. 729
  15. 9/4
  16. 36000000
  17. 1/343
  18. 3100000
  19. 27
  20. 10
  21. 4
  22. 1024
  23. 0.002
  24. 2
  25. 1
  26. 64
  27. 2
  28. 7/2
  29. 25/9
  30. 9
  31. 7
  32. 0.00079
  33. 0.047
  34. 7776
  35. 12
  36. 3/2
  37. 46656
  38. 1/10
  39. 1/32
  40. 2

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