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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 551 · 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 (1/8)⁻¹? =
  2. 2.Write 1.7 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 3¹ × 3⁻⁵? =
  4. 4.What is the value of 6⁴? =
  5. 5.What is the value of (3/5)⁻²? =
  6. 6.Write (3⁶)⁶ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 10⁴? =
  8. 8.What is the value of 5²? =
  9. 9.What is the value of 3¹⁰? =
  10. 10.What is the value of 2³? =
  11. 11.Write 1.3 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 10⁵ × 10⁻⁴? =
  13. 13.What is the value of 8⁻¹ (as a fraction)? =
  14. 14.What is the value of 7⁻¹ (as a fraction)? =
  15. 15.What is the value of 2¹⁶? =
  16. 16.What is the value of 5⁻¹ (as a fraction)? =
  17. 17.What is the value of 8²? =
  18. 18.What is the value of 7⁻³ (as a fraction)? =
  19. 19.What is the value of 2³ × 2⁻²? =
  20. 20.What is the value of 2¹³? =
  21. 21.Write 3.2 × 10⁻² as a decimal. =
  22. 22.Write 2.4 × 10⁻³ as a decimal. =
  23. 23.Write 5¹² ÷ 5⁸ as a single power 5ⁿ. What is n?
  24. 24.What is the value of (3/7)⁻²? =
  25. 25.Write 2.3 × 10⁻⁴ as a decimal. =
  26. 26.Write 9.7 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 3³ × 3⁻⁶? =
  28. 28.What is the value of 5⁶? =
  29. 29.What is the value of 5⁻³ (as a fraction)? =
  30. 30.Write (3³)² as a single power 3ⁿ. What is n?
  31. 31.2.2 × 10³ =
  32. 32.Write 3.7 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 3³? =
  34. 34.Write 9 × 10⁻² as a decimal. =
  35. 35.What is the value of 3² × 3⁻¹? =
  36. 36.What is the value of (8/9)⁻¹? =
  37. 37.Write 6.3 × 10⁻¹ as a decimal. =
  38. 38.Write 4.5 × 10⁻¹ as a decimal. =
  39. 39.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  40. 40.Write 2.8 × 10⁻² as a decimal. =

Answer key

  1. 8
  2. 0.17
  3. 1/81
  4. 1296
  5. 25/9
  6. 36
  7. 10000
  8. 25
  9. 59049
  10. 8
  11. 0.00013
  12. 10
  13. 1/8
  14. 1/7
  15. 65536
  16. 1/5
  17. 64
  18. 1/343
  19. 2
  20. 8192
  21. 0.032
  22. 0.0024
  23. 4
  24. 49/9
  25. 0.00023
  26. 0.00097
  27. 1/27
  28. 15625
  29. 1/125
  30. 6
  31. 2200
  32. 0.37
  33. 27
  34. 0.09
  35. 3
  36. 9/8
  37. 0.63
  38. 0.45
  39. 24
  40. 0.028

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