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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 95 · 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 2⁶? =
  2. 2.Write 450 in standard form as 4.5 × 10ⁿ. What is n?
  3. 3.What is the value of 6⁶? =
  4. 4.What is the value of 2¹²? =
  5. 5.What is the value of 10²? =
  6. 6.What is the value of (6/7)⁻¹? =
  7. 7.Write 5⁵ × 5⁷ as a single power 5ⁿ. What is n?
  8. 8.What is the value of 3⁶ × 3⁻¹? =
  9. 9.What is the value of 2² × 2⁻³? =
  10. 10.What is the value of 2¹¹? =
  11. 11.Write 4¹¹ ÷ 4³ as a single power 4ⁿ. What is n?
  12. 12.Write 6.6 × 10⁻⁴ as a decimal. =
  13. 13.Write (2⁸)⁹ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 10³? =
  15. 15.Write 3⁵ × 3⁹ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 2⁻⁴ (as a fraction)? =
  17. 17.Write 9.1 × 10⁻² as a decimal. =
  18. 18.What is the value of 2¹⁴? =
  19. 19.What is the value of 5⁻¹ (as a fraction)? =
  20. 20.What is the value of 6³? =
  21. 21.5.4 × 10⁵ =
  22. 22.Write 9.2 × 10⁻⁴ as a decimal. =
  23. 23.Write 7.3 × 10⁻² as a decimal. =
  24. 24.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
  25. 25.Write (3⁴)⁵ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 10⁵? =
  27. 27.Write 5⁵ × 5⁸ as a single power 5ⁿ. What is n?
  28. 28.What is the value of 2⁶ × 2⁻⁶? =
  29. 29.What is the value of 3⁴? =
  30. 30.What is the value of 10¹ × 10⁻²? =
  31. 31.What is the value of 3⁷? =
  32. 32.What is the value of (4/5)⁻¹? =
  33. 33.Write 4¹⁴ ÷ 4⁸ as a single power 4ⁿ. What is n?
  34. 34.Write 40,000 in standard form as 4 × 10ⁿ. What is n?
  35. 35.6.8 × 10⁷ =
  36. 36.What is the value of 2⁶ × 2⁻²? =
  37. 37.Write (9⁵)⁷ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 4⁻³ (as a fraction)? =
  39. 39.What is the value of 3² × 3⁻¹? =
  40. 40.What is the value of 4⁷? =

Answer key

  1. 64
  2. 2
  3. 46656
  4. 4096
  5. 100
  6. 7/6
  7. 12
  8. 243
  9. 1/2
  10. 2048
  11. 8
  12. 0.00066
  13. 72
  14. 1000
  15. 14
  16. 1/16
  17. 0.091
  18. 16384
  19. 1/5
  20. 216
  21. 540000
  22. 0.00092
  23. 0.073
  24. 8
  25. 20
  26. 100000
  27. 13
  28. 1
  29. 81
  30. 1/10
  31. 2187
  32. 5/4
  33. 6
  34. 4
  35. 68000000
  36. 16
  37. 35
  38. 1/64
  39. 3
  40. 16384

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