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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 365 · 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.Write 3.4 × 10⁻¹ as a decimal. =
  2. 2.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  3. 3.Write 7.1 × 10⁻² as a decimal. =
  4. 4.What is the value of 3² × 3⁻⁶? =
  5. 5.What is the value of (1/5)⁻²? =
  6. 6.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  7. 7.Write (2⁴)³ as a single power 2ⁿ. What is n?
  8. 8.What is the value of 3³ × 3⁻²? =
  9. 9.Write 8.3 × 10⁻⁴ as a decimal. =
  10. 10.8.1 × 10³ =
  11. 11.What is the value of 5⁻² (as a fraction)? =
  12. 12.What is the value of 3⁻¹ (as a fraction)? =
  13. 13.What is the value of 10⁶ × 10⁻⁶? =
  14. 14.Write 6,60,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  15. 15.What is the value of 5² × 5⁻⁵? =
  16. 16.What is the value of (1/5)⁻¹? =
  17. 17.What is the value of 6⁻² (as a fraction)? =
  18. 18.Write 6.6 × 10⁻³ as a decimal. =
  19. 19.What is the value of 9³? =
  20. 20.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  21. 21.Write (9⁹)² as a single power 9ⁿ. What is n?
  22. 22.What is the value of 7⁵? =
  23. 23.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 10³ × 10⁻⁵? =
  25. 25.What is the value of 10⁻¹ (as a fraction)? =
  26. 26.Write 9.9 × 10⁻¹ as a decimal. =
  27. 27.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
  28. 28.What is the value of (3/4)⁻¹? =
  29. 29.Write (9⁷)³ as a single power 9ⁿ. What is n?
  30. 30.What is the value of 3²? =
  31. 31.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 10⁶ × 10⁻⁴? =
  33. 33.1.1 × 10² =
  34. 34.Write 20,000 in standard form as 2 × 10ⁿ. What is n?
  35. 35.Write 9.2 × 10⁻⁴ as a decimal. =
  36. 36.5.9 × 10⁶ =
  37. 37.Write 6,200 in standard form as 6.2 × 10ⁿ. What is n?
  38. 38.What is the value of (1/8)⁻²? =
  39. 39.Write 9,80,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  40. 40.What is the value of 3⁶? =

Answer key

  1. 0.34
  2. 8
  3. 0.071
  4. 1/81
  5. 25
  6. 7
  7. 12
  8. 3
  9. 0.00083
  10. 8100
  11. 1/25
  12. 1/3
  13. 1
  14. 7
  15. 1/125
  16. 5
  17. 1/36
  18. 0.0066
  19. 729
  20. 3
  21. 18
  22. 16807
  23. 11
  24. 1/100
  25. 1/10
  26. 0.99
  27. 2
  28. 4/3
  29. 21
  30. 9
  31. 54
  32. 100
  33. 110
  34. 4
  35. 0.00092
  36. 5900000
  37. 3
  38. 64
  39. 7
  40. 729

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