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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 562 · 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 6.5 × 10⁻³ as a decimal. =
  2. 2.What is the value of 9²? =
  3. 3.Write 6.4 × 10⁻¹ as a decimal. =
  4. 4.Write 9¹⁴ ÷ 9⁶ as a single power 9ⁿ. What is n?
  5. 5.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
  6. 6.Write 8.2 × 10⁻² as a decimal. =
  7. 7.What is the value of 2⁸? =
  8. 8.2.7 × 10⁷ =
  9. 9.Write 2.2 × 10⁻² as a decimal. =
  10. 10.What is the value of 3⁹? =
  11. 11.6.7 × 10⁶ =
  12. 12.What is the value of 9⁴? =
  13. 13.What is the value of 2⁻⁸ (as a fraction)? =
  14. 14.What is the value of 2⁻⁵ (as a fraction)? =
  15. 15.Write 8.3 × 10⁻² as a decimal. =
  16. 16.What is the value of 2⁶ × 2⁻⁴? =
  17. 17.Write 2¹² ÷ 2⁷ as a single power 2ⁿ. What is n?
  18. 18.7.4 × 10⁵ =
  19. 19.What is the value of 3¹ × 3⁻⁴? =
  20. 20.What is the value of 7³? =
  21. 21.What is the value of 4⁻³ (as a fraction)? =
  22. 22.What is the value of 10²? =
  23. 23.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
  24. 24.What is the value of (1/5)⁻²? =
  25. 25.Write 9¹¹ ÷ 9⁸ as a single power 9ⁿ. What is n?
  26. 26.What is the value of (7/9)⁻¹? =
  27. 27.What is the value of 3⁵ × 3⁻⁵? =
  28. 28.What is the value of (3/4)⁻¹? =
  29. 29.Write 3.1 × 10⁻² as a decimal. =
  30. 30.What is the value of 5³? =
  31. 31.Write 5.5 × 10⁻² as a decimal. =
  32. 32.Write (4⁸)² as a single power 4ⁿ. What is n?
  33. 33.Write 2.9 × 10⁻¹ as a decimal. =
  34. 34.Write 4⁷ × 4⁶ as a single power 4ⁿ. What is n?
  35. 35.What is the value of 8⁵? =
  36. 36.What is the value of 8⁻² (as a fraction)? =
  37. 37.What is the value of 2¹³? =
  38. 38.What is the value of 10¹ × 10⁻⁴? =
  39. 39.What is the value of 3⁻² (as a fraction)? =
  40. 40.Write 2,30,00,000 in standard form as 2.3 × 10ⁿ. What is n?

Answer key

  1. 0.0065
  2. 81
  3. 0.64
  4. 8
  5. 5
  6. 0.082
  7. 256
  8. 27000000
  9. 0.022
  10. 19683
  11. 6700000
  12. 6561
  13. 1/256
  14. 1/32
  15. 0.083
  16. 4
  17. 5
  18. 740000
  19. 1/27
  20. 343
  21. 1/64
  22. 100
  23. 4
  24. 25
  25. 3
  26. 9/7
  27. 1
  28. 4/3
  29. 0.031
  30. 125
  31. 0.055
  32. 16
  33. 0.29
  34. 13
  35. 32768
  36. 1/64
  37. 8192
  38. 1/1000
  39. 1/9
  40. 7

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