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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 385 · 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 2⁵? =
  2. 2.What is the value of 5⁴ × 5⁻¹? =
  3. 3.Write 9⁷ × 9⁵ as a single power 9ⁿ. What is n?
  4. 4.Write 3.3 × 10⁻¹ as a decimal. =
  5. 5.1.5 × 10² =
  6. 6.What is the value of 10² × 10⁻²? =
  7. 7.Write 1.9 × 10⁻³ as a decimal. =
  8. 8.Write 1.1 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 2¹⁶? =
  10. 10.Write 2⁶ ÷ 2³ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 4⁵? =
  12. 12.Write 66,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  13. 13.5 × 10² =
  14. 14.Write 4¹¹ ÷ 4⁸ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 5⁴ × 5⁻⁶? =
  16. 16.What is the value of 2¹ × 2⁻⁴? =
  17. 17.What is the value of 5²? =
  18. 18.Write 6,30,000 in standard form as 6.3 × 10ⁿ. What is n?
  19. 19.What is the value of 10⁵? =
  20. 20.Write 8.9 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 2¹⁰? =
  22. 22.Write 5.1 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 2³? =
  24. 24.What is the value of (1/8)⁻²? =
  25. 25.Write 5.9 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of (1/9)⁻²? =
  27. 27.Write 7.1 × 10⁻¹ as a decimal. =
  28. 28.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  29. 29.What is the value of 8⁵? =
  30. 30.9.4 × 10⁷ =
  31. 31.Write 5.2 × 10⁻¹ as a decimal. =
  32. 32.7.1 × 10² =
  33. 33.What is the value of 2⁹? =
  34. 34.Write 5,70,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  35. 35.What is the value of 2⁶ × 2⁻¹? =
  36. 36.What is the value of 10⁻¹ (as a fraction)? =
  37. 37.9.6 × 10⁶ =
  38. 38.Write 5.6 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 3⁵ × 3⁻³? =
  40. 40.What is the value of 2⁷? =

Answer key

  1. 32
  2. 125
  3. 12
  4. 0.33
  5. 150
  6. 1
  7. 0.0019
  8. 0.11
  9. 65536
  10. 3
  11. 1024
  12. 6
  13. 500
  14. 3
  15. 1/25
  16. 1/8
  17. 25
  18. 5
  19. 100000
  20. 0.00089
  21. 1024
  22. 0.00051
  23. 8
  24. 64
  25. 0.00059
  26. 81
  27. 0.71
  28. 6
  29. 32768
  30. 94000000
  31. 0.52
  32. 710
  33. 512
  34. 7
  35. 32
  36. 1/10
  37. 9600000
  38. 0.00056
  39. 9
  40. 128

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