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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 489 · 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 2⁵ × 2⁻²? =
  2. 2.Write 9,70,000 in standard form as 9.7 × 10ⁿ. What is n?
  3. 3.What is the value of 4⁸? =
  4. 4.Write 7,700 in standard form as 7.7 × 10ⁿ. What is n?
  5. 5.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
  6. 6.Write (9⁴)⁴ as a single power 9ⁿ. What is n?
  7. 7.5.1 × 10⁷ =
  8. 8.Write 9.5 × 10⁻⁴ as a decimal. =
  9. 9.Write 6.3 × 10⁻⁴ as a decimal. =
  10. 10.Write 3⁹ × 3³ as a single power 3ⁿ. What is n?
  11. 11.What is the value of (3/8)⁻¹? =
  12. 12.What is the value of 5¹ × 5⁻⁵? =
  13. 13.Write 6⁹ × 6⁷ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 3⁴? =
  15. 15.Write 9⁹ × 9⁵ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 10²? =
  17. 17.Write 8¹⁴ ÷ 8⁵ as a single power 8ⁿ. What is n?
  18. 18.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  19. 19.What is the value of 10⁵? =
  20. 20.What is the value of 6⁻³ (as a fraction)? =
  21. 21.What is the value of 5⁻² (as a fraction)? =
  22. 22.What is the value of 3¹ × 3⁻⁵? =
  23. 23.What is the value of 2⁸? =
  24. 24.What is the value of 7⁵? =
  25. 25.What is the value of 6⁵? =
  26. 26.What is the value of 4³? =
  27. 27.What is the value of 6⁶? =
  28. 28.Write 3³ × 3⁷ as a single power 3ⁿ. What is n?
  29. 29.3.4 × 10⁵ =
  30. 30.What is the value of 3² × 3⁻³? =
  31. 31.6.2 × 10⁶ =
  32. 32.What is the value of 8³? =
  33. 33.Write 5⁴ × 5⁴ as a single power 5ⁿ. What is n?
  34. 34.9.6 × 10⁴ =
  35. 35.What is the value of 2⁶? =
  36. 36.What is the value of 10⁴ × 10⁻²? =
  37. 37.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
  38. 38.Write 9⁶ × 9⁸ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 2⁻² (as a fraction)? =
  40. 40.Write 5² × 5² as a single power 5ⁿ. What is n?

Answer key

  1. 8
  2. 5
  3. 65536
  4. 3
  5. 4
  6. 16
  7. 51000000
  8. 0.00095
  9. 0.00063
  10. 12
  11. 8/3
  12. 1/625
  13. 16
  14. 81
  15. 14
  16. 100
  17. 9
  18. 12
  19. 100000
  20. 1/216
  21. 1/25
  22. 1/81
  23. 256
  24. 16807
  25. 7776
  26. 64
  27. 46656
  28. 10
  29. 340000
  30. 1/3
  31. 6200000
  32. 512
  33. 8
  34. 96000
  35. 64
  36. 100
  37. 9
  38. 14
  39. 1/4
  40. 4

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