← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 525 · 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 8.6 × 10⁻⁴ as a decimal. =
  2. 2.6 × 10⁷ =
  3. 3.Write (6⁷)² as a single power 6ⁿ. What is n?
  4. 4.2.2 × 10⁴ =
  5. 5.Write 8³ × 8⁵ as a single power 8ⁿ. What is n?
  6. 6.6.1 × 10³ =
  7. 7.4.9 × 10² =
  8. 8.Write 6.1 × 10⁻³ as a decimal. =
  9. 9.What is the value of 5² × 5⁻⁵? =
  10. 10.What is the value of 8⁻² (as a fraction)? =
  11. 11.Write 67,000 in standard form as 6.7 × 10ⁿ. What is n?
  12. 12.What is the value of 2¹⁴? =
  13. 13.Write 4⁴ × 4² as a single power 4ⁿ. What is n?
  14. 14.2.2 × 10⁶ =
  15. 15.9.8 × 10⁷ =
  16. 16.What is the value of 5⁶ × 5⁻⁴? =
  17. 17.5.6 × 10⁷ =
  18. 18.What is the value of 2⁻⁵ (as a fraction)? =
  19. 19.What is the value of 10⁴? =
  20. 20.What is the value of 9⁴? =
  21. 21.What is the value of 4⁻¹ (as a fraction)? =
  22. 22.What is the value of 10³ × 10⁻⁶? =
  23. 23.What is the value of 2² × 2⁻⁵? =
  24. 24.Write 2⁹ × 2⁸ as a single power 2ⁿ. What is n?
  25. 25.Write 5,90,000 in standard form as 5.9 × 10ⁿ. What is n?
  26. 26.What is the value of 9⁻¹ (as a fraction)? =
  27. 27.What is the value of 3¹⁰? =
  28. 28.Write 4.3 × 10⁻⁴ as a decimal. =
  29. 29.5.7 × 10⁴ =
  30. 30.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  31. 31.What is the value of 4⁴? =
  32. 32.Write 5.1 × 10⁻³ as a decimal. =
  33. 33.Write 6¹¹ ÷ 6⁹ as a single power 6ⁿ. What is n?
  34. 34.Write 2.9 × 10⁻⁴ as a decimal. =
  35. 35.8 × 10⁶ =
  36. 36.What is the value of 2⁻³ (as a fraction)? =
  37. 37.Write 5¹³ ÷ 5⁹ as a single power 5ⁿ. What is n?
  38. 38.Write 3⁹ ÷ 3³ as a single power 3ⁿ. What is n?
  39. 39.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  40. 40.Write 7⁶ × 7⁹ as a single power 7ⁿ. What is n?

Answer key

  1. 0.00086
  2. 60000000
  3. 14
  4. 22000
  5. 8
  6. 6100
  7. 490
  8. 0.0061
  9. 1/125
  10. 1/64
  11. 4
  12. 16384
  13. 6
  14. 2200000
  15. 98000000
  16. 25
  17. 56000000
  18. 1/32
  19. 10000
  20. 6561
  21. 1/4
  22. 1/1000
  23. 1/8
  24. 17
  25. 5
  26. 1/9
  27. 59049
  28. 0.00043
  29. 57000
  30. 6
  31. 256
  32. 0.0051
  33. 2
  34. 0.00029
  35. 8000000
  36. 1/8
  37. 4
  38. 6
  39. 3
  40. 15

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets