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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 997 · 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. 1.3 × 10² =
  2. 2.2.2 × 10⁶ =
  3. 3.Write (3⁹)⁷ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 10³? =
  5. 5.What is the value of 5³ × 5⁻⁵? =
  6. 6.Write 4⁹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 2¹²? =
  8. 8.What is the value of 8⁻² (as a fraction)? =
  9. 9.What is the value of 2⁻⁵ (as a fraction)? =
  10. 10.What is the value of (4/5)⁻¹? =
  11. 11.What is the value of 3⁴? =
  12. 12.Write 7⁶ × 7⁴ as a single power 7ⁿ. What is n?
  13. 13.What is the value of 9³? =
  14. 14.What is the value of 5² × 5⁻⁵? =
  15. 15.What is the value of 2⁸? =
  16. 16.What is the value of 10² × 10⁻³? =
  17. 17.4.4 × 10⁷ =
  18. 18.Write 950 in standard form as 9.5 × 10ⁿ. What is n?
  19. 19.Write 7.6 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 6³? =
  21. 21.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  22. 22.2.1 × 10⁴ =
  23. 23.5.6 × 10⁵ =
  24. 24.Write 3¹⁷ ÷ 3⁹ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 3³ × 3⁻³? =
  26. 26.What is the value of 10¹ × 10⁻²? =
  27. 27.Write 5⁶ ÷ 5³ as a single power 5ⁿ. What is n?
  28. 28.What is the value of 4⁻⁴ (as a fraction)? =
  29. 29.Write 63,000 in standard form as 6.3 × 10ⁿ. What is n?
  30. 30.Write 1.8 × 10⁻³ as a decimal. =
  31. 31.What is the value of (1/4)⁻¹? =
  32. 32.Write 2.5 × 10⁻² as a decimal. =
  33. 33.What is the value of 10³ × 10⁻²? =
  34. 34.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  35. 35.What is the value of 3⁴ × 3⁻²? =
  36. 36.What is the value of (1/3)⁻²? =
  37. 37.Write 6⁴ × 6³ as a single power 6ⁿ. What is n?
  38. 38.Write 16,000 in standard form as 1.6 × 10ⁿ. What is n?
  39. 39.Write 6¹⁰ ÷ 6³ as a single power 6ⁿ. What is n?
  40. 40.2.8 × 10⁷ =

Answer key

  1. 300
  2. 2200000
  3. 63
  4. 1000
  5. 1/25
  6. 3
  7. 4096
  8. 1/64
  9. 1/32
  10. 5/4
  11. 81
  12. 10
  13. 729
  14. 1/125
  15. 256
  16. 1/10
  17. 44000000
  18. 2
  19. 0.76
  20. 216
  21. 7
  22. 21000
  23. 560000
  24. 8
  25. 1
  26. 1/10
  27. 3
  28. 1/256
  29. 4
  30. 0.0018
  31. 4
  32. 0.025
  33. 10
  34. 7
  35. 9
  36. 9
  37. 7
  38. 4
  39. 7
  40. 28000000

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