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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 166 · 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 10³ × 10⁻⁵? =
  2. 2.What is the value of 9⁻³ (as a fraction)? =
  3. 3.Write 3.4 × 10⁻¹ as a decimal. =
  4. 4.Write 8,00,00,000 in standard form as 8 × 10ⁿ. What is n?
  5. 5.What is the value of 5¹ × 5⁻¹? =
  6. 6.What is the value of 3⁵ × 3⁻¹? =
  7. 7.What is the value of 2³ × 2⁻⁶? =
  8. 8.Write 2,00,000 in standard form as 2 × 10ⁿ. What is n?
  9. 9.What is the value of 4⁵? =
  10. 10.What is the value of 2⁻⁹ (as a fraction)? =
  11. 11.What is the value of 3⁴? =
  12. 12.Write 5 × 10⁻³ as a decimal. =
  13. 13.What is the value of 2⁻³ (as a fraction)? =
  14. 14.What is the value of 2¹ × 2⁻³? =
  15. 15.What is the value of 2¹ × 2⁻⁶? =
  16. 16.What is the value of 2⁵ × 2⁻⁵? =
  17. 17.Write (5⁴)⁷ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 10²? =
  19. 19.5.8 × 10⁶ =
  20. 20.What is the value of 4⁴? =
  21. 21.What is the value of 8²? =
  22. 22.What is the value of 4⁸? =
  23. 23.What is the value of 2² × 2⁻⁶? =
  24. 24.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  25. 25.What is the value of 6⁻¹ (as a fraction)? =
  26. 26.What is the value of 5⁵ × 5⁻²? =
  27. 27.What is the value of 9²? =
  28. 28.What is the value of 3¹ × 3⁻¹? =
  29. 29.Write 5 × 10⁻² as a decimal. =
  30. 30.Write 9.2 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 2⁻⁷ (as a fraction)? =
  32. 32.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  33. 33.Write 31,000 in standard form as 3.1 × 10ⁿ. What is n?
  34. 34.3.7 × 10⁷ =
  35. 35.What is the value of 5⁶ × 5⁻¹? =
  36. 36.Write 9.2 × 10⁻³ as a decimal. =
  37. 37.Write 8¹³ ÷ 8⁹ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 3⁻⁴ (as a fraction)? =
  39. 39.What is the value of 3¹ × 3⁻⁵? =
  40. 40.What is the value of 2² × 2⁻⁴? =

Answer key

  1. 1/100
  2. 1/729
  3. 0.34
  4. 7
  5. 1
  6. 81
  7. 1/8
  8. 5
  9. 1024
  10. 1/512
  11. 81
  12. 0.005
  13. 1/8
  14. 1/4
  15. 1/32
  16. 1
  17. 28
  18. 100
  19. 5800000
  20. 256
  21. 64
  22. 65536
  23. 1/16
  24. 3
  25. 1/6
  26. 125
  27. 81
  28. 1
  29. 0.05
  30. 0.92
  31. 1/128
  32. 3
  33. 4
  34. 37000000
  35. 3125
  36. 0.0092
  37. 4
  38. 1/81
  39. 1/81
  40. 1/4

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