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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 898 · 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 6⁵ × 6⁵ as a single power 6ⁿ. What is n?
  2. 2.What is the value of 2⁻⁹ (as a fraction)? =
  3. 3.What is the value of 8³? =
  4. 4.Write 2.3 × 10⁻¹ as a decimal. =
  5. 5.Write 2⁹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 10¹ × 10⁻²? =
  7. 7.Write 3¹¹ ÷ 3³ as a single power 3ⁿ. What is n?
  8. 8.What is the value of 10¹ × 10⁻⁶? =
  9. 9.What is the value of 2⁻⁵ (as a fraction)? =
  10. 10.What is the value of 5⁴ × 5⁻⁵? =
  11. 11.6.9 × 10⁶ =
  12. 12.Write 9⁷ ÷ 9² as a single power 9ⁿ. What is n?
  13. 13.What is the value of (2/9)⁻²? =
  14. 14.What is the value of 3⁵ × 3⁻³? =
  15. 15.Write 5,30,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  16. 16.Write 6.1 × 10⁻² as a decimal. =
  17. 17.Write (3³)⁶ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 2⁵ × 2⁻⁵? =
  19. 19.Write 8.5 × 10⁻² as a decimal. =
  20. 20.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  21. 21.Write 3.8 × 10⁻³ as a decimal. =
  22. 22.2.8 × 10⁴ =
  23. 23.What is the value of 3³? =
  24. 24.Write 4.7 × 10⁻¹ as a decimal. =
  25. 25.Write (7³)³ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 3⁸? =
  27. 27.Write 3¹⁶ ÷ 3⁸ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 9⁴? =
  29. 29.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?
  30. 30.What is the value of 2⁷? =
  31. 31.What is the value of (2/3)⁻²? =
  32. 32.What is the value of 9²? =
  33. 33.Write 4 × 10⁻² as a decimal. =
  34. 34.What is the value of 9⁵? =
  35. 35.What is the value of (5/9)⁻¹? =
  36. 36.1.7 × 10³ =
  37. 37.What is the value of 2²? =
  38. 38.Write (2⁶)⁵ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 2⁶? =
  40. 40.What is the value of 5⁵ × 5⁻²? =

Answer key

  1. 10
  2. 1/512
  3. 512
  4. 0.23
  5. 3
  6. 1/10
  7. 8
  8. 1/100000
  9. 1/32
  10. 1/5
  11. 6900000
  12. 5
  13. 81/4
  14. 9
  15. 7
  16. 0.061
  17. 18
  18. 1
  19. 0.085
  20. 2
  21. 0.0038
  22. 28000
  23. 27
  24. 0.47
  25. 9
  26. 6561
  27. 8
  28. 6561
  29. 3
  30. 128
  31. 9/4
  32. 81
  33. 0.04
  34. 59049
  35. 9/5
  36. 1700
  37. 4
  38. 30
  39. 64
  40. 125

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