← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 480 · 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 2⁻⁸ (as a fraction)? =
  2. 2.What is the value of 3⁹? =
  3. 3.What is the value of 4⁵? =
  4. 4.What is the value of (6/7)⁻²? =
  5. 5.What is the value of 10⁵ × 10⁻⁵? =
  6. 6.Write 1.9 × 10⁻² as a decimal. =
  7. 7.What is the value of 6⁶? =
  8. 8.Write 4.8 × 10⁻² as a decimal. =
  9. 9.Write 3 × 10⁻² as a decimal. =
  10. 10.What is the value of 2⁴? =
  11. 11.2.9 × 10³ =
  12. 12.Write 2¹³ ÷ 2⁷ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 5²? =
  14. 14.Write 8.7 × 10⁻⁴ as a decimal. =
  15. 15.Write 6.2 × 10⁻¹ as a decimal. =
  16. 16.9.6 × 10³ =
  17. 17.7.4 × 10⁴ =
  18. 18.What is the value of (5/9)⁻¹? =
  19. 19.What is the value of 4⁻¹ (as a fraction)? =
  20. 20.What is the value of 3³ × 3⁻³? =
  21. 21.Write 3.6 × 10⁻³ as a decimal. =
  22. 22.Write 5.2 × 10⁻² as a decimal. =
  23. 23.What is the value of 10⁶ × 10⁻⁵? =
  24. 24.Write 2.2 × 10⁻² as a decimal. =
  25. 25.Write 1.6 × 10⁻⁴ as a decimal. =
  26. 26.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  27. 27.What is the value of 10⁴ × 10⁻⁶? =
  28. 28.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
  29. 29.7.3 × 10³ =
  30. 30.What is the value of 5⁻¹ (as a fraction)? =
  31. 31.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  32. 32.What is the value of 4⁶? =
  33. 33.8 × 10⁴ =
  34. 34.What is the value of 9²? =
  35. 35.Write (6³)³ as a single power 6ⁿ. What is n?
  36. 36.What is the value of (1/8)⁻²? =
  37. 37.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  38. 38.What is the value of 10¹ × 10⁻⁶? =
  39. 39.Write 4.9 × 10⁻² as a decimal. =
  40. 40.Write 17,000 in standard form as 1.7 × 10ⁿ. What is n?

Answer key

  1. 1/256
  2. 19683
  3. 1024
  4. 49/36
  5. 1
  6. 0.019
  7. 46656
  8. 0.048
  9. 0.03
  10. 16
  11. 2900
  12. 6
  13. 25
  14. 0.00087
  15. 0.62
  16. 9600
  17. 74000
  18. 9/5
  19. 1/4
  20. 1
  21. 0.0036
  22. 0.052
  23. 10
  24. 0.022
  25. 0.00016
  26. 9
  27. 1/100
  28. 36
  29. 7300
  30. 1/5
  31. 11
  32. 4096
  33. 80000
  34. 81
  35. 9
  36. 64
  37. 8
  38. 1/100000
  39. 0.049
  40. 4

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