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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 834 · 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 6⁸ × 6² as a single power 6ⁿ. What is n?
  2. 2.What is the value of (1/4)⁻²? =
  3. 3.What is the value of 2¹⁴? =
  4. 4.Write (9⁶)² as a single power 9ⁿ. What is n?
  5. 5.What is the value of 10⁶ × 10⁻¹? =
  6. 6.What is the value of 2⁻⁵ (as a fraction)? =
  7. 7.9.7 × 10² =
  8. 8.What is the value of 5⁻² (as a fraction)? =
  9. 9.What is the value of 3³? =
  10. 10.What is the value of 9⁵? =
  11. 11.What is the value of 5⁴? =
  12. 12.What is the value of 3⁴ × 3⁻⁶? =
  13. 13.What is the value of 5⁻¹ (as a fraction)? =
  14. 14.What is the value of 5⁵ × 5⁻³? =
  15. 15.What is the value of 2⁵ × 2⁻¹? =
  16. 16.Write 3.6 × 10⁻³ as a decimal. =
  17. 17.What is the value of (5/6)⁻¹? =
  18. 18.Write (7⁶)⁸ as a single power 7ⁿ. What is n?
  19. 19.Write 6,70,000 in standard form as 6.7 × 10ⁿ. What is n?
  20. 20.Write 7.4 × 10⁻² as a decimal. =
  21. 21.What is the value of 3⁻⁴ (as a fraction)? =
  22. 22.Write 6.5 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 2⁷? =
  24. 24.What is the value of 3⁵ × 3⁻⁵? =
  25. 25.What is the value of (2/3)⁻¹? =
  26. 26.Write 3.8 × 10⁻⁴ as a decimal. =
  27. 27.Write (4⁸)³ as a single power 4ⁿ. What is n?
  28. 28.Write 6.8 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 4²? =
  30. 30.Write (9⁷)⁹ as a single power 9ⁿ. What is n?
  31. 31.What is the value of 4⁵? =
  32. 32.What is the value of 3⁻³ (as a fraction)? =
  33. 33.What is the value of 3⁴ × 3⁻²? =
  34. 34.Write 3.1 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 3⁸? =
  36. 36.Write 6 × 10⁻³ as a decimal. =
  37. 37.What is the value of 2⁴ × 2⁻²? =
  38. 38.What is the value of 3³ × 3⁻¹? =
  39. 39.What is the value of 3⁷? =
  40. 40.Write 63,00,000 in standard form as 6.3 × 10ⁿ. What is n?

Answer key

  1. 10
  2. 16
  3. 16384
  4. 12
  5. 100000
  6. 1/32
  7. 970
  8. 1/25
  9. 27
  10. 59049
  11. 625
  12. 1/9
  13. 1/5
  14. 25
  15. 16
  16. 0.0036
  17. 6/5
  18. 48
  19. 5
  20. 0.074
  21. 1/81
  22. 0.65
  23. 128
  24. 1
  25. 3/2
  26. 0.00038
  27. 24
  28. 0.68
  29. 16
  30. 63
  31. 1024
  32. 1/27
  33. 9
  34. 0.31
  35. 6561
  36. 0.006
  37. 4
  38. 9
  39. 2187
  40. 6

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