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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 227 · 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 2¹⁶? =
  2. 2.What is the value of 3¹ × 3⁻⁴? =
  3. 3.Write 5.3 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 4⁴? =
  5. 5.What is the value of 4⁵? =
  6. 6.What is the value of (1/7)⁻²? =
  7. 7.Write 2.5 × 10⁻² as a decimal. =
  8. 8.What is the value of (4/9)⁻²? =
  9. 9.4.1 × 10⁷ =
  10. 10.1.5 × 10³ =
  11. 11.9.8 × 10⁵ =
  12. 12.What is the value of 5⁵? =
  13. 13.What is the value of 4⁷? =
  14. 14.Write 9⁹ × 9⁷ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 10⁵ × 10⁻⁵? =
  16. 16.Write 7.7 × 10⁻³ as a decimal. =
  17. 17.5.6 × 10⁴ =
  18. 18.Write 940 in standard form as 9.4 × 10ⁿ. What is n?
  19. 19.Write (5⁹)³ as a single power 5ⁿ. What is n?
  20. 20.Write 2.1 × 10⁻³ as a decimal. =
  21. 21.Write 1.3 × 10⁻³ as a decimal. =
  22. 22.Write 2 × 10⁻³ as a decimal. =
  23. 23.Write 9,700 in standard form as 9.7 × 10ⁿ. What is n?
  24. 24.9.5 × 10⁷ =
  25. 25.What is the value of 4⁶? =
  26. 26.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  27. 27.What is the value of 5¹ × 5⁻²? =
  28. 28.1.6 × 10⁷ =
  29. 29.What is the value of 3⁴ × 3⁻¹? =
  30. 30.What is the value of 9⁻¹ (as a fraction)? =
  31. 31.Write 7.2 × 10⁻² as a decimal. =
  32. 32.What is the value of 10⁵? =
  33. 33.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  34. 34.Write 8.2 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 2⁻⁵ (as a fraction)? =
  36. 36.What is the value of 10² × 10⁻¹? =
  37. 37.What is the value of (3/8)⁻²? =
  38. 38.Write 2⁵ × 2⁸ as a single power 2ⁿ. What is n?
  39. 39.Write 2.2 × 10⁻² as a decimal. =
  40. 40.What is the value of 8²? =

Answer key

  1. 65536
  2. 1/27
  3. 0.00053
  4. 256
  5. 1024
  6. 49
  7. 0.025
  8. 81/16
  9. 41000000
  10. 1500
  11. 980000
  12. 3125
  13. 16384
  14. 16
  15. 1
  16. 0.0077
  17. 56000
  18. 2
  19. 27
  20. 0.0021
  21. 0.0013
  22. 0.002
  23. 3
  24. 95000000
  25. 4096
  26. 5
  27. 1/5
  28. 16000000
  29. 27
  30. 1/9
  31. 0.072
  32. 100000
  33. 17
  34. 0.82
  35. 1/32
  36. 10
  37. 64/9
  38. 13
  39. 0.022
  40. 64

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