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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 171 · 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 (2/3)⁻¹? =
  2. 2.9.6 × 10³ =
  3. 3.Write 4² × 4² as a single power 4ⁿ. What is n?
  4. 4.What is the value of 2⁶ × 2⁻¹? =
  5. 5.What is the value of 3² × 3⁻¹? =
  6. 6.What is the value of 3⁶ × 3⁻¹? =
  7. 7.What is the value of 10³? =
  8. 8.Write 2⁷ × 2⁸ as a single power 2ⁿ. What is n?
  9. 9.What is the value of (1/6)⁻²? =
  10. 10.What is the value of 3⁵ × 3⁻¹? =
  11. 11.Write 5⁸ × 5⁶ as a single power 5ⁿ. What is n?
  12. 12.What is the value of 3⁻¹ (as a fraction)? =
  13. 13.Write 3.5 × 10⁻² as a decimal. =
  14. 14.What is the value of 6³? =
  15. 15.Write 4,10,00,000 in standard form as 4.1 × 10ⁿ. What is n?
  16. 16.What is the value of 7⁻¹ (as a fraction)? =
  17. 17.What is the value of 5³ × 5⁻⁵? =
  18. 18.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  19. 19.Write 5⁶ × 5³ as a single power 5ⁿ. What is n?
  20. 20.Write 2.6 × 10⁻² as a decimal. =
  21. 21.8.2 × 10⁵ =
  22. 22.What is the value of 5⁵? =
  23. 23.What is the value of 9⁻¹ (as a fraction)? =
  24. 24.What is the value of 10¹ × 10⁻³? =
  25. 25.Write 6.2 × 10⁻⁴ as a decimal. =
  26. 26.Write (4⁸)⁷ as a single power 4ⁿ. What is n?
  27. 27.Write 1.9 × 10⁻¹ as a decimal. =
  28. 28.6.4 × 10² =
  29. 29.What is the value of 4⁸? =
  30. 30.Write 9.5 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 10²? =
  32. 32.Write 3¹² ÷ 3⁶ as a single power 3ⁿ. What is n?
  33. 33.Write (5²)⁴ as a single power 5ⁿ. What is n?
  34. 34.Write (4⁴)⁴ as a single power 4ⁿ. What is n?
  35. 35.What is the value of 7⁴? =
  36. 36.Write 2.1 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 3¹⁰? =
  38. 38.What is the value of (4/5)⁻²? =
  39. 39.7.7 × 10² =
  40. 40.Write 3.4 × 10⁻² as a decimal. =

Answer key

  1. 3/2
  2. 9600
  3. 4
  4. 32
  5. 3
  6. 243
  7. 1000
  8. 15
  9. 36
  10. 81
  11. 14
  12. 1/3
  13. 0.035
  14. 216
  15. 7
  16. 1/7
  17. 1/25
  18. 6
  19. 9
  20. 0.026
  21. 820000
  22. 3125
  23. 1/9
  24. 1/100
  25. 0.00062
  26. 56
  27. 0.19
  28. 640
  29. 65536
  30. 0.95
  31. 100
  32. 6
  33. 8
  34. 16
  35. 2401
  36. 0.00021
  37. 59049
  38. 25/16
  39. 770
  40. 0.034

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