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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 611 · 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 71,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  2. 2.What is the value of 4⁻¹ (as a fraction)? =
  3. 3.What is the value of 4⁵? =
  4. 4.What is the value of 3¹ × 3⁻⁴? =
  5. 5.Write 7¹⁴ ÷ 7⁵ as a single power 7ⁿ. What is n?
  6. 6.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  7. 7.What is the value of 7⁻³ (as a fraction)? =
  8. 8.6.8 × 10² =
  9. 9.What is the value of 9⁵? =
  10. 10.Write 6³ × 6² as a single power 6ⁿ. What is n?
  11. 11.Write 8.3 × 10⁻³ as a decimal. =
  12. 12.6.3 × 10² =
  13. 13.What is the value of 7⁵? =
  14. 14.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  15. 15.What is the value of 4³? =
  16. 16.Write 9.9 × 10⁻¹ as a decimal. =
  17. 17.Write 1.3 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 2¹⁵? =
  19. 19.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 10³ × 10⁻⁴? =
  21. 21.What is the value of 10²? =
  22. 22.What is the value of 2¹⁰? =
  23. 23.What is the value of 10⁻³ (as a fraction)? =
  24. 24.Write 4.9 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 4⁸? =
  26. 26.What is the value of 2⁻⁹ (as a fraction)? =
  27. 27.What is the value of 2¹²? =
  28. 28.Write 9.5 × 10⁻³ as a decimal. =
  29. 29.Write 3.7 × 10⁻¹ as a decimal. =
  30. 30.Write 3⁴ × 3⁷ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 7²? =
  32. 32.Write 4³ × 4⁴ as a single power 4ⁿ. What is n?
  33. 33.1.5 × 10⁷ =
  34. 34.What is the value of 5⁵ × 5⁻¹? =
  35. 35.Write (8²)³ as a single power 8ⁿ. What is n?
  36. 36.Write 8¹² ÷ 8⁴ as a single power 8ⁿ. What is n?
  37. 37.Write 7,000 in standard form as 7 × 10ⁿ. What is n?
  38. 38.What is the value of 3⁻² (as a fraction)? =
  39. 39.What is the value of 2¹ × 2⁻³? =
  40. 40.Write 7 × 10⁻³ as a decimal. =

Answer key

  1. 6
  2. 1/4
  3. 1024
  4. 1/27
  5. 9
  6. 6
  7. 1/343
  8. 680
  9. 59049
  10. 5
  11. 0.0083
  12. 630
  13. 16807
  14. 9
  15. 64
  16. 0.99
  17. 0.13
  18. 32768
  19. 11
  20. 1/10
  21. 100
  22. 1024
  23. 1/1000
  24. 0.49
  25. 65536
  26. 1/512
  27. 4096
  28. 0.0095
  29. 0.37
  30. 11
  31. 49
  32. 7
  33. 15000000
  34. 625
  35. 6
  36. 8
  37. 3
  38. 1/9
  39. 1/4
  40. 0.007

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