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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 549 · 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 9⁹ ÷ 9⁴ as a single power 9ⁿ. What is n?
  2. 2.What is the value of 5⁵ × 5⁻⁴? =
  3. 3.What is the value of 2⁻⁴ (as a fraction)? =
  4. 4.Write 5.4 × 10⁻¹ as a decimal. =
  5. 5.Write 4⁶ × 4³ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 5² × 5⁻¹? =
  7. 7.What is the value of 4⁸? =
  8. 8.What is the value of 3³ × 3⁻²? =
  9. 9.What is the value of 5¹ × 5⁻⁴? =
  10. 10.Write 1.4 × 10⁻³ as a decimal. =
  11. 11.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  12. 12.What is the value of 5⁶ × 5⁻⁵? =
  13. 13.What is the value of (2/3)⁻²? =
  14. 14.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  15. 15.Write 4² × 4⁴ as a single power 4ⁿ. What is n?
  16. 16.Write 5.9 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 4⁴? =
  18. 18.Write 5.2 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 5⁷? =
  20. 20.What is the value of 8⁵? =
  21. 21.What is the value of (1/9)⁻²? =
  22. 22.What is the value of 4⁻⁴ (as a fraction)? =
  23. 23.What is the value of 2¹ × 2⁻³? =
  24. 24.What is the value of 3⁶ × 3⁻⁵? =
  25. 25.What is the value of 10⁵ × 10⁻⁴? =
  26. 26.Write (5³)⁷ as a single power 5ⁿ. What is n?
  27. 27.What is the value of (3/5)⁻²? =
  28. 28.Write 3⁸ × 3⁷ as a single power 3ⁿ. What is n?
  29. 29.Write 8¹³ ÷ 8⁶ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 2²? =
  31. 31.What is the value of 2³ × 2⁻¹? =
  32. 32.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  33. 33.What is the value of 10²? =
  34. 34.Write 7,50,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  35. 35.Write 8.6 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of (1/6)⁻¹? =
  37. 37.What is the value of 2⁹? =
  38. 38.What is the value of 8³? =
  39. 39.Write 8,90,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  40. 40.Write (7⁷)⁶ as a single power 7ⁿ. What is n?

Answer key

  1. 5
  2. 5
  3. 1/16
  4. 0.54
  5. 9
  6. 5
  7. 65536
  8. 3
  9. 1/125
  10. 0.0014
  11. 3
  12. 5
  13. 9/4
  14. 12
  15. 6
  16. 0.00059
  17. 256
  18. 0.00052
  19. 78125
  20. 32768
  21. 81
  22. 1/256
  23. 1/4
  24. 3
  25. 10
  26. 21
  27. 25/9
  28. 15
  29. 7
  30. 4
  31. 4
  32. 2
  33. 100
  34. 7
  35. 0.00086
  36. 6
  37. 512
  38. 512
  39. 7
  40. 42

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