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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 423 · 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 2⁴? =
  2. 2.Write 6.8 × 10⁻¹ as a decimal. =
  3. 3.What is the value of (7/9)⁻²? =
  4. 4.What is the value of 8⁴? =
  5. 5.What is the value of 2⁻⁹ (as a fraction)? =
  6. 6.Write 4.9 × 10⁻¹ as a decimal. =
  7. 7.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  8. 8.What is the value of 5¹ × 5⁻²? =
  9. 9.What is the value of 3⁵ × 3⁻⁶? =
  10. 10.What is the value of 9²? =
  11. 11.Write 4⁷ ÷ 4² as a single power 4ⁿ. What is n?
  12. 12.Write 2² × 2⁴ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 3⁷? =
  14. 14.Write 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
  15. 15.Write 1.5 × 10⁻² as a decimal. =
  16. 16.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 2⁷? =
  18. 18.What is the value of 5⁵ × 5⁻⁵? =
  19. 19.What is the value of 2¹⁴? =
  20. 20.Write (3⁸)⁹ as a single power 3ⁿ. What is n?
  21. 21.What is the value of 9⁻² (as a fraction)? =
  22. 22.1.3 × 10⁷ =
  23. 23.What is the value of 10⁴? =
  24. 24.What is the value of 5² × 5⁻³? =
  25. 25.Write 3⁵ × 3⁶ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 2¹⁵? =
  27. 27.What is the value of 2³? =
  28. 28.Write (3³)⁸ as a single power 3ⁿ. What is n?
  29. 29.What is the value of 2⁻⁴ (as a fraction)? =
  30. 30.Write 9.3 × 10⁻³ as a decimal. =
  31. 31.What is the value of 5³ × 5⁻⁶? =
  32. 32.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  33. 33.Write (3⁴)⁴ as a single power 3ⁿ. What is n?
  34. 34.6.2 × 10⁴ =
  35. 35.What is the value of 8³? =
  36. 36.What is the value of 3⁵ × 3⁻²? =
  37. 37.What is the value of 2² × 2⁻³? =
  38. 38.Write 6,90,000 in standard form as 6.9 × 10ⁿ. What is n?
  39. 39.What is the value of 5⁵ × 5⁻³? =
  40. 40.What is the value of 5² × 5⁻¹? =

Answer key

  1. 16
  2. 0.68
  3. 81/49
  4. 4096
  5. 1/512
  6. 0.49
  7. 12
  8. 1/5
  9. 1/3
  10. 81
  11. 5
  12. 6
  13. 2187
  14. 7
  15. 0.015
  16. 3
  17. 128
  18. 1
  19. 16384
  20. 72
  21. 1/81
  22. 13000000
  23. 10000
  24. 1/5
  25. 11
  26. 32768
  27. 8
  28. 24
  29. 1/16
  30. 0.0093
  31. 1/125
  32. 4
  33. 16
  34. 62000
  35. 512
  36. 27
  37. 1/2
  38. 5
  39. 25
  40. 5

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