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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 284 · 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 9⁶ × 9⁶ as a single power 9ⁿ. What is n?
  2. 2.What is the value of 3¹⁰? =
  3. 3.Write 2 × 10⁻⁴ as a decimal. =
  4. 4.Write 3.4 × 10⁻² as a decimal. =
  5. 5.7.9 × 10³ =
  6. 6.What is the value of 2⁻⁶ (as a fraction)? =
  7. 7.Write 7 × 10⁻² as a decimal. =
  8. 8.What is the value of 4⁻² (as a fraction)? =
  9. 9.What is the value of 10¹ × 10⁻⁴? =
  10. 10.What is the value of 10⁵? =
  11. 11.3.1 × 10⁶ =
  12. 12.Write 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  13. 13.Write 7.5 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 5⁶ × 5⁻⁵? =
  15. 15.What is the value of 5⁵ × 5⁻³? =
  16. 16.Write 7.2 × 10⁻⁴ as a decimal. =
  17. 17.Write 1,90,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  18. 18.Write 6.3 × 10⁻² as a decimal. =
  19. 19.What is the value of (3/7)⁻¹? =
  20. 20.What is the value of 2⁸? =
  21. 21.Write 8.1 × 10⁻¹ as a decimal. =
  22. 22.Write 5.1 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 5⁵? =
  24. 24.What is the value of 7⁻² (as a fraction)? =
  25. 25.What is the value of (7/9)⁻¹? =
  26. 26.What is the value of 10⁶ × 10⁻¹? =
  27. 27.Write 9⁹ × 9² as a single power 9ⁿ. What is n?
  28. 28.Write 2 × 10⁻² as a decimal. =
  29. 29.Write 6³ × 6⁶ as a single power 6ⁿ. What is n?
  30. 30.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 2⁵ × 2⁻³? =
  32. 32.Write 9,60,000 in standard form as 9.6 × 10ⁿ. What is n?
  33. 33.What is the value of 2²? =
  34. 34.What is the value of 3⁵ × 3⁻⁶? =
  35. 35.Write 2⁴ × 2³ as a single power 2ⁿ. What is n?
  36. 36.What is the value of 8⁻³ (as a fraction)? =
  37. 37.What is the value of 5⁶ × 5⁻²? =
  38. 38.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 10⁵ × 10⁻¹? =
  40. 40.Write 9,700 in standard form as 9.7 × 10ⁿ. What is n?

Answer key

  1. 12
  2. 59049
  3. 0.0002
  4. 0.034
  5. 7900
  6. 1/64
  7. 0.07
  8. 1/16
  9. 1/1000
  10. 100000
  11. 3100000
  12. 5
  13. 0.75
  14. 5
  15. 25
  16. 0.00072
  17. 7
  18. 0.063
  19. 7/3
  20. 256
  21. 0.81
  22. 0.51
  23. 3125
  24. 1/49
  25. 9/7
  26. 100000
  27. 11
  28. 0.02
  29. 9
  30. 7
  31. 4
  32. 5
  33. 4
  34. 1/3
  35. 7
  36. 1/512
  37. 625
  38. 14
  39. 10000
  40. 3

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