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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 27 · 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. 1.1.6 × 10⁵ =
  2. 2.Write 2³ × 2⁶ as a single power 2ⁿ. What is n?
  3. 3.What is the value of (2/5)⁻¹? =
  4. 4.Write 7⁸ × 7⁶ as a single power 7ⁿ. What is n?
  5. 5.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 10¹ × 10⁻⁵? =
  7. 7.What is the value of 2¹⁶? =
  8. 8.What is the value of 10⁶ × 10⁻⁵? =
  9. 9.What is the value of 4⁸? =
  10. 10.Write 6.2 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 9⁴? =
  12. 12.What is the value of 10⁴? =
  13. 13.What is the value of 10⁴ × 10⁻²? =
  14. 14.Write 2.8 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 4⁵? =
  16. 16.What is the value of 3¹ × 3⁻⁴? =
  17. 17.What is the value of 3⁸? =
  18. 18.Write 48,000 in standard form as 4.8 × 10ⁿ. What is n?
  19. 19.What is the value of 2⁷? =
  20. 20.What is the value of 3³ × 3⁻⁵? =
  21. 21.What is the value of 3⁵ × 3⁻¹? =
  22. 22.What is the value of 10³? =
  23. 23.Write 5⁴ × 5⁷ as a single power 5ⁿ. What is n?
  24. 24.What is the value of (5/9)⁻²? =
  25. 25.7.3 × 10⁷ =
  26. 26.What is the value of 3³? =
  27. 27.What is the value of 2¹³? =
  28. 28.What is the value of 5⁵ × 5⁻⁶? =
  29. 29.Write 6⁹ ÷ 6⁶ as a single power 6ⁿ. What is n?
  30. 30.6.4 × 10⁶ =
  31. 31.What is the value of 2¹⁴? =
  32. 32.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  33. 33.Write (6⁷)⁸ as a single power 6ⁿ. What is n?
  34. 34.Write (5⁵)⁹ as a single power 5ⁿ. What is n?
  35. 35.Write 6⁹ ÷ 6³ as a single power 6ⁿ. What is n?
  36. 36.What is the value of (4/5)⁻²? =
  37. 37.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  38. 38.Write (9⁴)⁶ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 10⁶ × 10⁻²? =
  40. 40.Write 1.8 × 10⁻² as a decimal. =

Answer key

  1. 160000
  2. 9
  3. 5/2
  4. 14
  5. 2
  6. 1/10000
  7. 65536
  8. 10
  9. 65536
  10. 0.00062
  11. 6561
  12. 10000
  13. 100
  14. 0.28
  15. 1024
  16. 1/27
  17. 6561
  18. 4
  19. 128
  20. 1/9
  21. 81
  22. 1000
  23. 11
  24. 81/25
  25. 73000000
  26. 27
  27. 8192
  28. 1/5
  29. 3
  30. 6400000
  31. 16384
  32. 32
  33. 56
  34. 45
  35. 6
  36. 25/16
  37. 11
  38. 24
  39. 10000
  40. 0.018

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