← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 712 · 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 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?
  2. 2.Write 1.6 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 4³? =
  4. 4.What is the value of 3¹ × 3⁻²? =
  5. 5.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  6. 6.7.7 × 10⁵ =
  7. 7.What is the value of (2/3)⁻¹? =
  8. 8.Write 2.9 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 5⁴ × 5⁻¹? =
  10. 10.Write 6.8 × 10⁻³ as a decimal. =
  11. 11.What is the value of 2² × 2⁻¹? =
  12. 12.Write (2⁶)³ as a single power 2ⁿ. What is n?
  13. 13.Write (5⁷)⁷ as a single power 5ⁿ. What is n?
  14. 14.What is the value of 2⁻⁶ (as a fraction)? =
  15. 15.Write (2⁸)⁷ as a single power 2ⁿ. What is n?
  16. 16.Write 17,000 in standard form as 1.7 × 10ⁿ. What is n?
  17. 17.What is the value of 3⁷? =
  18. 18.Write 2.9 × 10⁻³ as a decimal. =
  19. 19.Write 1.7 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 2⁴ × 2⁻⁶? =
  21. 21.Write 8¹¹ ÷ 8⁶ as a single power 8ⁿ. What is n?
  22. 22.What is the value of (3/4)⁻¹? =
  23. 23.Write 4.3 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 10⁶ × 10⁻⁴? =
  25. 25.What is the value of (1/9)⁻¹? =
  26. 26.What is the value of 2⁸? =
  27. 27.Write 5,50,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  28. 28.Write 9.2 × 10⁻² as a decimal. =
  29. 29.6 × 10⁷ =
  30. 30.What is the value of (5/7)⁻¹? =
  31. 31.Write (8⁹)⁹ as a single power 8ⁿ. What is n?
  32. 32.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  33. 33.Write 5.2 × 10⁻² as a decimal. =
  34. 34.What is the value of 5⁷? =
  35. 35.What is the value of 9⁻³ (as a fraction)? =
  36. 36.Write 6.3 × 10⁻³ as a decimal. =
  37. 37.Write 1,500 in standard form as 1.5 × 10ⁿ. What is n?
  38. 38.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  39. 39.Write (7²)³ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 2⁵ × 2⁻⁶? =

Answer key

  1. 5
  2. 0.16
  3. 64
  4. 1/3
  5. 5
  6. 770000
  7. 3/2
  8. 0.29
  9. 125
  10. 0.0068
  11. 2
  12. 18
  13. 49
  14. 1/64
  15. 56
  16. 4
  17. 2187
  18. 0.0029
  19. 0.00017
  20. 1/4
  21. 5
  22. 4/3
  23. 0.00043
  24. 100
  25. 9
  26. 256
  27. 7
  28. 0.092
  29. 60000000
  30. 7/5
  31. 81
  32. 5
  33. 0.052
  34. 78125
  35. 1/729
  36. 0.0063
  37. 3
  38. 14
  39. 6
  40. 1/2

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