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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 152 · 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 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  2. 2.What is the value of 2⁴? =
  3. 3.What is the value of (1/2)⁻²? =
  4. 4.What is the value of 6⁴? =
  5. 5.Write 5.3 × 10⁻³ as a decimal. =
  6. 6.Write 9⁴ × 9³ as a single power 9ⁿ. What is n?
  7. 7.Write 340 in standard form as 3.4 × 10ⁿ. What is n?
  8. 8.Write 3 × 10⁻³ as a decimal. =
  9. 9.Write 4¹⁴ ÷ 4⁵ as a single power 4ⁿ. What is n?
  10. 10.What is the value of (3/5)⁻²? =
  11. 11.Write 3⁸ × 3⁷ as a single power 3ⁿ. What is n?
  12. 12.Write 7⁴ × 7² as a single power 7ⁿ. What is n?
  13. 13.What is the value of (1/8)⁻²? =
  14. 14.What is the value of 3⁻¹ (as a fraction)? =
  15. 15.What is the value of 5⁷? =
  16. 16.What is the value of (1/3)⁻¹? =
  17. 17.8.5 × 10³ =
  18. 18.Write 42,000 in standard form as 4.2 × 10ⁿ. What is n?
  19. 19.Write 7.8 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 2¹⁰? =
  21. 21.What is the value of 5³? =
  22. 22.9.4 × 10² =
  23. 23.Write 7⁸ ÷ 7⁶ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 3⁵? =
  25. 25.What is the value of (5/7)⁻¹? =
  26. 26.What is the value of 7⁵? =
  27. 27.Write 78,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  28. 28.What is the value of 2¹⁴? =
  29. 29.What is the value of 2⁶? =
  30. 30.What is the value of 2³ × 2⁻⁴? =
  31. 31.What is the value of 3⁻³ (as a fraction)? =
  32. 32.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  33. 33.What is the value of 3⁴ × 3⁻³? =
  34. 34.What is the value of 9⁵? =
  35. 35.What is the value of 5⁵ × 5⁻²? =
  36. 36.What is the value of 2¹³? =
  37. 37.What is the value of 3³? =
  38. 38.Write 6.7 × 10⁻⁴ as a decimal. =
  39. 39.Write 6⁸ ÷ 6⁵ as a single power 6ⁿ. What is n?
  40. 40.Write (6²)⁷ as a single power 6ⁿ. What is n?

Answer key

  1. 3
  2. 16
  3. 4
  4. 1296
  5. 0.0053
  6. 7
  7. 2
  8. 0.003
  9. 9
  10. 25/9
  11. 15
  12. 6
  13. 64
  14. 1/3
  15. 78125
  16. 3
  17. 8500
  18. 4
  19. 0.78
  20. 1024
  21. 125
  22. 940
  23. 2
  24. 243
  25. 7/5
  26. 16807
  27. 6
  28. 16384
  29. 64
  30. 1/2
  31. 1/27
  32. 7
  33. 3
  34. 59049
  35. 125
  36. 8192
  37. 27
  38. 0.00067
  39. 3
  40. 14

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