← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 933 · 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 1,20,000 in standard form as 1.2 × 10ⁿ. What is n?
  2. 2.Write 7⁹ ÷ 7⁷ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2¹³? =
  4. 4.2.8 × 10⁷ =
  5. 5.What is the value of 6²? =
  6. 6.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  7. 7.What is the value of (4/7)⁻²? =
  8. 8.Write 7,10,000 in standard form as 7.1 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁻⁷ (as a fraction)? =
  10. 10.What is the value of 3¹ × 3⁻³? =
  11. 11.What is the value of 3⁴ × 3⁻²? =
  12. 12.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  13. 13.Write 5.9 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 2¹²? =
  15. 15.What is the value of 5¹ × 5⁻¹? =
  16. 16.Write 7.6 × 10⁻² as a decimal. =
  17. 17.What is the value of 10⁵? =
  18. 18.What is the value of 6⁻³ (as a fraction)? =
  19. 19.3 × 10⁷ =
  20. 20.Write 5.4 × 10⁻¹ as a decimal. =
  21. 21.Write 8⁷ ÷ 8⁵ as a single power 8ⁿ. What is n?
  22. 22.Write 7.7 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 4⁴? =
  24. 24.What is the value of 2⁷? =
  25. 25.Write 2¹³ ÷ 2⁴ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 10³ × 10⁻²? =
  27. 27.Write 8.8 × 10⁻¹ as a decimal. =
  28. 28.Write (2³)² as a single power 2ⁿ. What is n?
  29. 29.What is the value of (5/9)⁻¹? =
  30. 30.Write (9²)³ as a single power 9ⁿ. What is n?
  31. 31.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  32. 32.Write 400 in standard form as 4 × 10ⁿ. What is n?
  33. 33.Write 6⁷ × 6⁸ as a single power 6ⁿ. What is n?
  34. 34.What is the value of 3⁶ × 3⁻²? =
  35. 35.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  36. 36.What is the value of 5¹ × 5⁻³? =
  37. 37.Write (4⁷)² as a single power 4ⁿ. What is n?
  38. 38.Write 9² × 9⁶ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 5⁴ × 5⁻¹? =
  40. 40.What is the value of (7/9)⁻¹? =

Answer key

  1. 5
  2. 2
  3. 8192
  4. 28000000
  5. 36
  6. 12
  7. 49/16
  8. 5
  9. 1/128
  10. 1/9
  11. 9
  12. 6
  13. 0.59
  14. 4096
  15. 1
  16. 0.076
  17. 100000
  18. 1/216
  19. 30000000
  20. 0.54
  21. 2
  22. 0.77
  23. 256
  24. 128
  25. 9
  26. 10
  27. 0.88
  28. 6
  29. 9/5
  30. 6
  31. 3
  32. 2
  33. 15
  34. 81
  35. 2
  36. 1/25
  37. 14
  38. 8
  39. 125
  40. 9/7

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