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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 813 · 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 4⁻³ (as a fraction)? =
  2. 2.What is the value of 10⁻² (as a fraction)? =
  3. 3.What is the value of 2¹⁴? =
  4. 4.What is the value of 10⁶ × 10⁻³? =
  5. 5.Write 4.7 × 10⁻³ as a decimal. =
  6. 6.What is the value of 10³ × 10⁻¹? =
  7. 7.What is the value of 3² × 3⁻²? =
  8. 8.Write 5.5 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 3⁻⁶ (as a fraction)? =
  10. 10.Write (3⁹)⁴ as a single power 3ⁿ. What is n?
  11. 11.What is the value of 2⁴ × 2⁻⁵? =
  12. 12.What is the value of 2⁸? =
  13. 13.What is the value of (2/9)⁻¹? =
  14. 14.What is the value of 6²? =
  15. 15.What is the value of 5⁵ × 5⁻²? =
  16. 16.Write 9³ × 9⁵ as a single power 9ⁿ. What is n?
  17. 17.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 9²? =
  19. 19.What is the value of 10¹ × 10⁻¹? =
  20. 20.What is the value of 6³? =
  21. 21.What is the value of 4³? =
  22. 22.What is the value of 5⁶ × 5⁻¹? =
  23. 23.Write 1.4 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 7⁵? =
  25. 25.Write (4⁵)⁹ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 2⁵ × 2⁻¹? =
  27. 27.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  28. 28.Write 5.2 × 10⁻¹ as a decimal. =
  29. 29.Write 4.4 × 10⁻³ as a decimal. =
  30. 30.What is the value of 7⁴? =
  31. 31.What is the value of 10⁴ × 10⁻⁶? =
  32. 32.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
  33. 33.What is the value of 4⁷? =
  34. 34.Write 1.6 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2⁻³ (as a fraction)? =
  36. 36.What is the value of 5⁵ × 5⁻³? =
  37. 37.Write 1.1 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 9⁻³ (as a fraction)? =
  39. 39.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  40. 40.What is the value of 3⁷? =

Answer key

  1. 1/64
  2. 1/100
  3. 16384
  4. 1000
  5. 0.0047
  6. 100
  7. 1
  8. 0.55
  9. 1/729
  10. 36
  11. 1/2
  12. 256
  13. 9/2
  14. 36
  15. 125
  16. 8
  17. 15
  18. 81
  19. 1
  20. 216
  21. 64
  22. 3125
  23. 0.14
  24. 16807
  25. 45
  26. 16
  27. 7
  28. 0.52
  29. 0.0044
  30. 2401
  31. 1/100
  32. 3
  33. 16384
  34. 0.0016
  35. 1/8
  36. 25
  37. 0.00011
  38. 1/729
  39. 9
  40. 2187

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