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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 971 · 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 (1/4)⁻¹? =
  2. 2.9.9 × 10² =
  3. 3.What is the value of 3³ × 3⁻¹? =
  4. 4.What is the value of (1/3)⁻²? =
  5. 5.What is the value of 5² × 5⁻²? =
  6. 6.What is the value of (1/6)⁻²? =
  7. 7.What is the value of 10¹ × 10⁻⁵? =
  8. 8.Write (2⁹)⁶ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 10⁶ × 10⁻¹? =
  10. 10.Write 9¹⁵ ÷ 9⁷ as a single power 9ⁿ. What is n?
  11. 11.Write 2.4 × 10⁻³ as a decimal. =
  12. 12.Write (2⁹)⁹ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 2³ × 2⁻³? =
  14. 14.What is the value of 3⁻⁶ (as a fraction)? =
  15. 15.What is the value of 2¹⁵? =
  16. 16.What is the value of 4²? =
  17. 17.What is the value of 2³ × 2⁻⁵? =
  18. 18.What is the value of 7⁻² (as a fraction)? =
  19. 19.Write (4³)⁷ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 3⁴? =
  21. 21.6.5 × 10⁴ =
  22. 22.Write (3²)⁷ as a single power 3ⁿ. What is n?
  23. 23.What is the value of 3⁶ × 3⁻²? =
  24. 24.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 2⁵ × 2⁻²? =
  26. 26.What is the value of 9⁻¹ (as a fraction)? =
  27. 27.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  28. 28.Write (4⁷)⁸ as a single power 4ⁿ. What is n?
  29. 29.1.5 × 10⁵ =
  30. 30.What is the value of 7³? =
  31. 31.Write 6⁸ ÷ 6² as a single power 6ⁿ. What is n?
  32. 32.What is the value of 5⁶ × 5⁻¹? =
  33. 33.What is the value of 2⁻⁹ (as a fraction)? =
  34. 34.What is the value of 6⁵? =
  35. 35.What is the value of 6⁴? =
  36. 36.Write (6⁹)² as a single power 6ⁿ. What is n?
  37. 37.What is the value of (5/9)⁻²? =
  38. 38.Write 5⁷ ÷ 5³ as a single power 5ⁿ. What is n?
  39. 39.Write 4⁹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 2⁴? =

Answer key

  1. 4
  2. 990
  3. 9
  4. 9
  5. 1
  6. 36
  7. 1/10000
  8. 54
  9. 100000
  10. 8
  11. 0.0024
  12. 81
  13. 1
  14. 1/729
  15. 32768
  16. 16
  17. 1/4
  18. 1/49
  19. 21
  20. 81
  21. 65000
  22. 14
  23. 81
  24. 6
  25. 8
  26. 1/9
  27. 24
  28. 56
  29. 150000
  30. 343
  31. 6
  32. 3125
  33. 1/512
  34. 7776
  35. 1296
  36. 18
  37. 81/25
  38. 4
  39. 5
  40. 16

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