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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 966 · 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 1,30,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  2. 2.Write 190 in standard form as 1.9 × 10ⁿ. What is n?
  3. 3.8.8 × 10⁶ =
  4. 4.1.7 × 10⁴ =
  5. 5.What is the value of 2¹²? =
  6. 6.Write (5⁶)⁹ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 10² × 10⁻³? =
  8. 8.Write 4⁴ × 4³ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2⁹? =
  10. 10.What is the value of 6⁶? =
  11. 11.What is the value of 10⁶ × 10⁻²? =
  12. 12.What is the value of 2³ × 2⁻⁵? =
  13. 13.What is the value of 3⁴? =
  14. 14.What is the value of 2⁵ × 2⁻⁵? =
  15. 15.8.5 × 10⁶ =
  16. 16.Write 20,00,000 in standard form as 2 × 10ⁿ. What is n?
  17. 17.Write 4³ × 4⁶ as a single power 4ⁿ. What is n?
  18. 18.What is the value of 8⁻¹ (as a fraction)? =
  19. 19.Write 6 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 2⁶ × 2⁻⁶? =
  21. 21.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  22. 22.Write 9⁶ ÷ 9⁴ as a single power 9ⁿ. What is n?
  23. 23.Write 3⁹ × 3⁵ as a single power 3ⁿ. What is n?
  24. 24.What is the value of 4⁻¹ (as a fraction)? =
  25. 25.8 × 10⁴ =
  26. 26.5.7 × 10⁷ =
  27. 27.What is the value of 4⁻² (as a fraction)? =
  28. 28.Write 2.7 × 10⁻² as a decimal. =
  29. 29.What is the value of (3/8)⁻¹? =
  30. 30.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 5⁻¹ (as a fraction)? =
  32. 32.What is the value of (5/7)⁻²? =
  33. 33.What is the value of 3⁵? =
  34. 34.4.7 × 10⁵ =
  35. 35.Write 5.7 × 10⁻² as a decimal. =
  36. 36.Write 6.9 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 2² × 2⁻²? =
  38. 38.9 × 10³ =
  39. 39.9.1 × 10² =
  40. 40.Write 9.7 × 10⁻³ as a decimal. =

Answer key

  1. 7
  2. 2
  3. 8800000
  4. 17000
  5. 4096
  6. 54
  7. 1/10
  8. 7
  9. 512
  10. 46656
  11. 10000
  12. 1/4
  13. 81
  14. 1
  15. 8500000
  16. 6
  17. 9
  18. 1/8
  19. 0.6
  20. 1
  21. 2
  22. 2
  23. 14
  24. 1/4
  25. 80000
  26. 57000000
  27. 1/16
  28. 0.027
  29. 8/3
  30. 8
  31. 1/5
  32. 49/25
  33. 243
  34. 470000
  35. 0.057
  36. 0.00069
  37. 1
  38. 9000
  39. 910
  40. 0.0097

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