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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 222 · 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 2¹⁶? =
  2. 2.Write 7.5 × 10⁻² as a decimal. =
  3. 3.Write 4.7 × 10⁻⁴ as a decimal. =
  4. 4.Write 2,400 in standard form as 2.4 × 10ⁿ. What is n?
  5. 5.Write 4,700 in standard form as 4.7 × 10ⁿ. What is n?
  6. 6.Write 7.6 × 10⁻³ as a decimal. =
  7. 7.What is the value of 4²? =
  8. 8.What is the value of 6⁻³ (as a fraction)? =
  9. 9.Write 5² × 5³ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 5² × 5⁻⁵? =
  11. 11.8.5 × 10³ =
  12. 12.2.6 × 10³ =
  13. 13.What is the value of 5⁴ × 5⁻⁴? =
  14. 14.What is the value of 10⁻³ (as a fraction)? =
  15. 15.What is the value of 2⁴? =
  16. 16.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
  17. 17.What is the value of 2³ × 2⁻²? =
  18. 18.5.7 × 10⁴ =
  19. 19.Write 2.8 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of (1/3)⁻²? =
  21. 21.What is the value of 2⁵ × 2⁻²? =
  22. 22.What is the value of 2⁻³ (as a fraction)? =
  23. 23.Write 7.5 × 10⁻³ as a decimal. =
  24. 24.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  25. 25.What is the value of 10¹ × 10⁻³? =
  26. 26.Write 9¹² ÷ 9⁵ as a single power 9ⁿ. What is n?
  27. 27.8.6 × 10³ =
  28. 28.Write 1,60,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  29. 29.What is the value of 3¹ × 3⁻²? =
  30. 30.4.1 × 10⁴ =
  31. 31.What is the value of 4⁻¹ (as a fraction)? =
  32. 32.Write 3,90,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  33. 33.What is the value of 3²? =
  34. 34.Write 6.5 × 10⁻² as a decimal. =
  35. 35.What is the value of 10² × 10⁻⁶? =
  36. 36.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
  37. 37.Write 9.4 × 10⁻³ as a decimal. =
  38. 38.5.1 × 10⁶ =
  39. 39.What is the value of 4⁵? =
  40. 40.Write 3⁴ × 3² as a single power 3ⁿ. What is n?

Answer key

  1. 65536
  2. 0.075
  3. 0.00047
  4. 3
  5. 3
  6. 0.0076
  7. 16
  8. 1/216
  9. 5
  10. 1/125
  11. 8500
  12. 2600
  13. 1
  14. 1/1000
  15. 16
  16. 17
  17. 2
  18. 57000
  19. 0.00028
  20. 9
  21. 8
  22. 1/8
  23. 0.0075
  24. 3
  25. 1/100
  26. 7
  27. 8600
  28. 7
  29. 1/3
  30. 41000
  31. 1/4
  32. 7
  33. 9
  34. 0.065
  35. 1/10000
  36. 4
  37. 0.0094
  38. 5100000
  39. 1024
  40. 6

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