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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 44 · 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 54,000 in standard form as 5.4 × 10ⁿ. What is n?
  2. 2.Write 1.5 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 5⁴? =
  4. 4.2.6 × 10² =
  5. 5.Write 1,90,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  6. 6.What is the value of 9⁻³ (as a fraction)? =
  7. 7.Write 5.8 × 10⁻³ as a decimal. =
  8. 8.What is the value of 3⁶? =
  9. 9.What is the value of 10⁶ × 10⁻¹? =
  10. 10.Write 1,700 in standard form as 1.7 × 10ⁿ. What is n?
  11. 11.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 3¹ × 3⁻¹? =
  13. 13.Write 4,700 in standard form as 4.7 × 10ⁿ. What is n?
  14. 14.Write 12,000 in standard form as 1.2 × 10ⁿ. What is n?
  15. 15.What is the value of 4⁶? =
  16. 16.What is the value of 5⁶ × 5⁻⁵? =
  17. 17.Write (3⁸)³ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 3⁶ × 3⁻⁶? =
  19. 19.What is the value of 10¹ × 10⁻⁶? =
  20. 20.What is the value of 4⁸? =
  21. 21.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  22. 22.What is the value of 7⁴? =
  23. 23.Write 900 in standard form as 9 × 10ⁿ. What is n?
  24. 24.What is the value of 2⁴ × 2⁻¹? =
  25. 25.What is the value of 3³? =
  26. 26.What is the value of 10⁴ × 10⁻³? =
  27. 27.What is the value of (2/5)⁻¹? =
  28. 28.What is the value of 5¹ × 5⁻²? =
  29. 29.5.1 × 10⁷ =
  30. 30.8.9 × 10⁷ =
  31. 31.What is the value of 9³? =
  32. 32.5.2 × 10⁶ =
  33. 33.What is the value of 5⁻² (as a fraction)? =
  34. 34.What is the value of 2⁶ × 2⁻³? =
  35. 35.Write 5⁴ × 5³ as a single power 5ⁿ. What is n?
  36. 36.What is the value of 10⁵ × 10⁻⁵? =
  37. 37.What is the value of 2⁻⁷ (as a fraction)? =
  38. 38.What is the value of 7³? =
  39. 39.9.6 × 10⁶ =
  40. 40.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?

Answer key

  1. 4
  2. 0.15
  3. 625
  4. 260
  5. 7
  6. 1/729
  7. 0.0058
  8. 729
  9. 100000
  10. 3
  11. 11
  12. 1
  13. 3
  14. 4
  15. 4096
  16. 5
  17. 24
  18. 1
  19. 1/100000
  20. 65536
  21. 3
  22. 2401
  23. 2
  24. 8
  25. 27
  26. 10
  27. 5/2
  28. 1/5
  29. 51000000
  30. 89000000
  31. 729
  32. 5200000
  33. 1/25
  34. 8
  35. 7
  36. 1
  37. 1/128
  38. 343
  39. 9600000
  40. 8

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