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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 494 · 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 5⁻⁴ (as a fraction)? =
  2. 2.3.3 × 10³ =
  3. 3.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 5² × 5⁻⁶? =
  5. 5.Write 4.5 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 9⁻¹ (as a fraction)? =
  7. 7.What is the value of 5² × 5⁻²? =
  8. 8.4.8 × 10² =
  9. 9.6.4 × 10³ =
  10. 10.What is the value of 3¹⁰? =
  11. 11.What is the value of 5⁵ × 5⁻¹? =
  12. 12.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  13. 13.1.3 × 10⁶ =
  14. 14.What is the value of 7⁻² (as a fraction)? =
  15. 15.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  16. 16.Write 5¹⁴ ÷ 5⁹ as a single power 5ⁿ. What is n?
  17. 17.2 × 10⁴ =
  18. 18.Write 6 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 3⁹? =
  20. 20.Write 340 in standard form as 3.4 × 10ⁿ. What is n?
  21. 21.7.8 × 10⁷ =
  22. 22.What is the value of 2² × 2⁻¹? =
  23. 23.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  24. 24.What is the value of 10⁵? =
  25. 25.Write (9⁶)⁴ as a single power 9ⁿ. What is n?
  26. 26.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?
  27. 27.Write 520 in standard form as 5.2 × 10ⁿ. What is n?
  28. 28.What is the value of 10³? =
  29. 29.What is the value of (1/5)⁻²? =
  30. 30.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 4⁴? =
  32. 32.What is the value of 6⁻³ (as a fraction)? =
  33. 33.What is the value of 6⁴? =
  34. 34.Write 5.8 × 10⁻² as a decimal. =
  35. 35.What is the value of 4²? =
  36. 36.What is the value of 2⁵? =
  37. 37.What is the value of 2⁴ × 2⁻²? =
  38. 38.Write 5.1 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 4⁷? =
  40. 40.Write 67,000 in standard form as 6.7 × 10ⁿ. What is n?

Answer key

  1. 1/625
  2. 3300
  3. 12
  4. 1/625
  5. 0.45
  6. 1/9
  7. 1
  8. 480
  9. 6400
  10. 59049
  11. 625
  12. 12
  13. 1300000
  14. 1/49
  15. 6
  16. 5
  17. 20000
  18. 0.0006
  19. 19683
  20. 2
  21. 78000000
  22. 2
  23. 7
  24. 100000
  25. 24
  26. 9
  27. 2
  28. 1000
  29. 25
  30. 8
  31. 256
  32. 1/216
  33. 1296
  34. 0.058
  35. 16
  36. 32
  37. 4
  38. 0.00051
  39. 16384
  40. 4

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