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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 346 · 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 (9³)³ as a single power 9ⁿ. What is n?
  2. 2.What is the value of (4/9)⁻²? =
  3. 3.9.5 × 10⁴ =
  4. 4.What is the value of 7⁵? =
  5. 5.Write 20,000 in standard form as 2 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁻⁹ (as a fraction)? =
  7. 7.What is the value of 3⁵? =
  8. 8.What is the value of 5³? =
  9. 9.3.2 × 10⁴ =
  10. 10.Write 9.7 × 10⁻¹ as a decimal. =
  11. 11.Write 7.9 × 10⁻³ as a decimal. =
  12. 12.What is the value of 2⁵? =
  13. 13.What is the value of 5⁻² (as a fraction)? =
  14. 14.What is the value of 3⁴ × 3⁻⁵? =
  15. 15.What is the value of 9⁵? =
  16. 16.Write 65,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  17. 17.Write 8.4 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 2⁻³ (as a fraction)? =
  19. 19.Write (6⁶)³ as a single power 6ⁿ. What is n?
  20. 20.Write 8⁹ ÷ 8⁵ as a single power 8ⁿ. What is n?
  21. 21.2.7 × 10⁴ =
  22. 22.Write (3²)² as a single power 3ⁿ. What is n?
  23. 23.What is the value of 10¹ × 10⁻⁶? =
  24. 24.Write 2.8 × 10⁻² as a decimal. =
  25. 25.What is the value of 6²? =
  26. 26.Write 8.6 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 10² × 10⁻³? =
  28. 28.What is the value of 2⁻⁸ (as a fraction)? =
  29. 29.3.1 × 10² =
  30. 30.What is the value of 2⁵ × 2⁻⁵? =
  31. 31.What is the value of 3⁻⁴ (as a fraction)? =
  32. 32.What is the value of 3⁷? =
  33. 33.Write 5.9 × 10⁻² as a decimal. =
  34. 34.What is the value of 2⁸? =
  35. 35.Write 3.3 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 5⁶ × 5⁻⁵? =
  37. 37.What is the value of 5¹ × 5⁻⁵? =
  38. 38.What is the value of 2⁶ × 2⁻⁵? =
  39. 39.What is the value of 5⁻³ (as a fraction)? =
  40. 40.Write 7² × 7⁷ as a single power 7ⁿ. What is n?

Answer key

  1. 9
  2. 81/16
  3. 95000
  4. 16807
  5. 4
  6. 1/512
  7. 243
  8. 125
  9. 32000
  10. 0.97
  11. 0.0079
  12. 32
  13. 1/25
  14. 1/3
  15. 59049
  16. 6
  17. 0.84
  18. 1/8
  19. 18
  20. 4
  21. 27000
  22. 4
  23. 1/100000
  24. 0.028
  25. 36
  26. 0.00086
  27. 1/10
  28. 1/256
  29. 310
  30. 1
  31. 1/81
  32. 2187
  33. 0.059
  34. 256
  35. 0.00033
  36. 5
  37. 1/625
  38. 2
  39. 1/125
  40. 9

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