← Exponents and powers lesson New set →

Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 924 · 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. 1.5.1 × 10⁷ =
  2. 2.Write 9.1 × 10⁻² as a decimal. =
  3. 3.Write 8.8 × 10⁻¹ as a decimal. =
  4. 4.What is the value of (2/3)⁻²? =
  5. 5.8.7 × 10⁵ =
  6. 6.What is the value of 4⁵? =
  7. 7.What is the value of 2⁷? =
  8. 8.5.8 × 10⁷ =
  9. 9.What is the value of 2⁵? =
  10. 10.What is the value of 2⁶? =
  11. 11.What is the value of 3⁵ × 3⁻¹? =
  12. 12.What is the value of 5³? =
  13. 13.What is the value of 5² × 5⁻¹? =
  14. 14.7.9 × 10⁶ =
  15. 15.What is the value of 3⁸? =
  16. 16.What is the value of (3/7)⁻¹? =
  17. 17.Write 8.1 × 10⁻¹ as a decimal. =
  18. 18.Write 2³ × 2⁵ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 2³? =
  20. 20.Write (9⁹)⁷ as a single power 9ⁿ. What is n?
  21. 21.What is the value of 4⁴? =
  22. 22.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  23. 23.What is the value of 8⁻¹ (as a fraction)? =
  24. 24.What is the value of 5⁵? =
  25. 25.What is the value of 9⁻³ (as a fraction)? =
  26. 26.What is the value of (5/6)⁻²? =
  27. 27.Write 9.7 × 10⁻² as a decimal. =
  28. 28.What is the value of (3/5)⁻¹? =
  29. 29.What is the value of (2/9)⁻²? =
  30. 30.Write 6.2 × 10⁻³ as a decimal. =
  31. 31.7.8 × 10³ =
  32. 32.What is the value of 6⁵? =
  33. 33.What is the value of 10⁶ × 10⁻¹? =
  34. 34.Write 9.8 × 10⁻⁴ as a decimal. =
  35. 35.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  36. 36.What is the value of (1/5)⁻²? =
  37. 37.What is the value of 4⁷? =
  38. 38.Write 2² × 2⁸ as a single power 2ⁿ. What is n?
  39. 39.Write 7⁷ × 7⁴ as a single power 7ⁿ. What is n?
  40. 40.Write 9,500 in standard form as 9.5 × 10ⁿ. What is n?

Answer key

  1. 51000000
  2. 0.091
  3. 0.88
  4. 9/4
  5. 870000
  6. 1024
  7. 128
  8. 58000000
  9. 32
  10. 64
  11. 81
  12. 125
  13. 5
  14. 7900000
  15. 6561
  16. 7/3
  17. 0.81
  18. 8
  19. 8
  20. 63
  21. 256
  22. 2
  23. 1/8
  24. 3125
  25. 1/729
  26. 36/25
  27. 0.097
  28. 5/3
  29. 81/4
  30. 0.0062
  31. 7800
  32. 7776
  33. 100000
  34. 0.00098
  35. 6
  36. 25
  37. 16384
  38. 10
  39. 11
  40. 3

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