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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 850 · 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 10⁻³ (as a fraction)? =
  2. 2.2.1 × 10³ =
  3. 3.2.7 × 10⁵ =
  4. 4.Write (5⁴)³ as a single power 5ⁿ. What is n?
  5. 5.Write 7.9 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 9³? =
  7. 7.What is the value of 5²? =
  8. 8.5.8 × 10⁶ =
  9. 9.Write 130 in standard form as 1.3 × 10ⁿ. What is n?
  10. 10.What is the value of 2¹⁴? =
  11. 11.What is the value of 5¹ × 5⁻⁵? =
  12. 12.What is the value of 5⁵ × 5⁻⁵? =
  13. 13.Write 9,40,000 in standard form as 9.4 × 10ⁿ. What is n?
  14. 14.Write 8.8 × 10⁻³ as a decimal. =
  15. 15.What is the value of 9⁻² (as a fraction)? =
  16. 16.Write 6³ × 6² as a single power 6ⁿ. What is n?
  17. 17.Write 8¹³ ÷ 8⁷ as a single power 8ⁿ. What is n?
  18. 18.What is the value of 2⁵ × 2⁻²? =
  19. 19.What is the value of (4/9)⁻²? =
  20. 20.What is the value of 8⁻³ (as a fraction)? =
  21. 21.Write 9,300 in standard form as 9.3 × 10ⁿ. What is n?
  22. 22.What is the value of 7⁻² (as a fraction)? =
  23. 23.8.6 × 10³ =
  24. 24.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  25. 25.What is the value of 5⁻² (as a fraction)? =
  26. 26.Write 5.2 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 2¹⁵? =
  28. 28.Write 1.5 × 10⁻³ as a decimal. =
  29. 29.Write 250 in standard form as 2.5 × 10ⁿ. What is n?
  30. 30.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁻⁶ (as a fraction)? =
  32. 32.What is the value of 2³ × 2⁻⁴? =
  33. 33.What is the value of 4⁴? =
  34. 34.What is the value of 10⁶ × 10⁻²? =
  35. 35.What is the value of (7/9)⁻¹? =
  36. 36.What is the value of 2⁹? =
  37. 37.Write 3⁴ × 3⁴ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 8³? =
  39. 39.What is the value of 2⁸? =
  40. 40.Write 2⁵ × 2⁵ as a single power 2ⁿ. What is n?

Answer key

  1. 1/1000
  2. 2100
  3. 270000
  4. 12
  5. 0.79
  6. 729
  7. 25
  8. 5800000
  9. 2
  10. 16384
  11. 1/625
  12. 1
  13. 5
  14. 0.0088
  15. 1/81
  16. 5
  17. 6
  18. 8
  19. 81/16
  20. 1/512
  21. 3
  22. 1/49
  23. 8600
  24. 3
  25. 1/25
  26. 0.00052
  27. 32768
  28. 0.0015
  29. 2
  30. 3
  31. 1/64
  32. 1/2
  33. 256
  34. 10000
  35. 9/7
  36. 512
  37. 8
  38. 512
  39. 256
  40. 10

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