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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 806 · 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 7² × 7⁷ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 2¹⁰? =
  3. 3.Write 4,000 in standard form as 4 × 10ⁿ. What is n?
  4. 4.Write 2³ × 2² as a single power 2ⁿ. What is n?
  5. 5.What is the value of (1/9)⁻¹? =
  6. 6.What is the value of 7⁻³ (as a fraction)? =
  7. 7.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  8. 8.5.6 × 10³ =
  9. 9.3.5 × 10⁶ =
  10. 10.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
  11. 11.What is the value of 4⁴? =
  12. 12.What is the value of 8³? =
  13. 13.What is the value of 2¹¹? =
  14. 14.What is the value of 2¹ × 2⁻¹? =
  15. 15.What is the value of 2¹⁵? =
  16. 16.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
  17. 17.What is the value of 2³? =
  18. 18.What is the value of 8⁻² (as a fraction)? =
  19. 19.What is the value of 10⁴? =
  20. 20.What is the value of 3⁵? =
  21. 21.2 × 10⁶ =
  22. 22.What is the value of 3⁻⁶ (as a fraction)? =
  23. 23.What is the value of 5⁶? =
  24. 24.Write 5.1 × 10⁻² as a decimal. =
  25. 25.What is the value of 2⁵? =
  26. 26.9.9 × 10³ =
  27. 27.Write 7⁶ × 7² as a single power 7ⁿ. What is n?
  28. 28.Write 7.3 × 10⁻³ as a decimal. =
  29. 29.Write 8.4 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 3⁻⁴ (as a fraction)? =
  31. 31.What is the value of 9²? =
  32. 32.Write 8¹⁶ ÷ 8⁷ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 3⁸? =
  34. 34.Write 5.6 × 10⁻³ as a decimal. =
  35. 35.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?
  36. 36.What is the value of (2/7)⁻¹? =
  37. 37.Write 3⁶ × 3⁵ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 5⁻¹ (as a fraction)? =
  39. 39.Write 3¹⁷ ÷ 3⁹ as a single power 3ⁿ. What is n?
  40. 40.Write 7⁴ × 7² as a single power 7ⁿ. What is n?

Answer key

  1. 9
  2. 1024
  3. 3
  4. 5
  5. 9
  6. 1/343
  7. 6
  8. 5600
  9. 3500000
  10. 13
  11. 256
  12. 512
  13. 2048
  14. 1
  15. 32768
  16. 3
  17. 8
  18. 1/64
  19. 10000
  20. 243
  21. 2000000
  22. 1/729
  23. 15625
  24. 0.051
  25. 32
  26. 9900
  27. 8
  28. 0.0073
  29. 0.84
  30. 1/81
  31. 81
  32. 9
  33. 6561
  34. 0.0056
  35. 6
  36. 7/2
  37. 11
  38. 1/5
  39. 8
  40. 6

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