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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 669 · 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 (2/3)⁻¹? =
  2. 2.Write 9⁹ × 9⁵ as a single power 9ⁿ. What is n?
  3. 3.Write 9⁵ × 9² as a single power 9ⁿ. What is n?
  4. 4.Write 5⁷ × 5⁷ as a single power 5ⁿ. What is n?
  5. 5.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
  6. 6.Write 3,90,000 in standard form as 3.9 × 10ⁿ. What is n?
  7. 7.8.9 × 10³ =
  8. 8.Write 2.2 × 10⁻² as a decimal. =
  9. 9.Write 4⁸ × 4⁶ as a single power 4ⁿ. What is n?
  10. 10.What is the value of (1/6)⁻¹? =
  11. 11.What is the value of 3²? =
  12. 12.What is the value of 10⁵? =
  13. 13.Write 4⁴ × 4² as a single power 4ⁿ. What is n?
  14. 14.What is the value of 5⁻² (as a fraction)? =
  15. 15.What is the value of 2⁶ × 2⁻⁴? =
  16. 16.2.9 × 10³ =
  17. 17.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  18. 18.What is the value of 4³? =
  19. 19.What is the value of 10¹ × 10⁻⁶? =
  20. 20.Write 5¹¹ ÷ 5² as a single power 5ⁿ. What is n?
  21. 21.What is the value of 2⁶ × 2⁻³? =
  22. 22.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
  23. 23.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
  24. 24.What is the value of 4⁸? =
  25. 25.Write 7⁴ × 7³ as a single power 7ⁿ. What is n?
  26. 26.Write 4.2 × 10⁻⁴ as a decimal. =
  27. 27.Write 3¹³ ÷ 3⁹ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 2³ × 2⁻⁴? =
  29. 29.Write 8.2 × 10⁻⁴ as a decimal. =
  30. 30.Write 9¹¹ ÷ 9³ as a single power 9ⁿ. What is n?
  31. 31.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  32. 32.2.9 × 10⁷ =
  33. 33.Write 6¹⁷ ÷ 6⁸ as a single power 6ⁿ. What is n?
  34. 34.What is the value of 3⁵ × 3⁻¹? =
  35. 35.What is the value of 4²? =
  36. 36.Write 6¹⁴ ÷ 6⁹ as a single power 6ⁿ. What is n?
  37. 37.What is the value of 4⁵? =
  38. 38.1.7 × 10⁶ =
  39. 39.Write 2.7 × 10⁻¹ as a decimal. =
  40. 40.Write 5⁸ × 5³ as a single power 5ⁿ. What is n?

Answer key

  1. 3/2
  2. 14
  3. 7
  4. 14
  5. 7
  6. 5
  7. 8900
  8. 0.022
  9. 14
  10. 6
  11. 9
  12. 100000
  13. 6
  14. 1/25
  15. 4
  16. 2900
  17. 6
  18. 64
  19. 1/100000
  20. 9
  21. 8
  22. 12
  23. 9
  24. 65536
  25. 7
  26. 0.00042
  27. 4
  28. 1/2
  29. 0.00082
  30. 8
  31. 15
  32. 29000000
  33. 9
  34. 81
  35. 16
  36. 5
  37. 1024
  38. 1700000
  39. 0.27
  40. 11

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