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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 882 · 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.What is the value of 9⁴? =
  2. 2.Write 60,00,000 in standard form as 6 × 10ⁿ. What is n?
  3. 3.What is the value of 4⁵? =
  4. 4.What is the value of 5¹ × 5⁻⁴? =
  5. 5.What is the value of 3²? =
  6. 6.9.8 × 10⁷ =
  7. 7.Write 8.4 × 10⁻³ as a decimal. =
  8. 8.What is the value of (2/5)⁻¹? =
  9. 9.What is the value of 10¹ × 10⁻²? =
  10. 10.Write 9³ × 9⁸ as a single power 9ⁿ. What is n?
  11. 11.What is the value of 2⁵ × 2⁻²? =
  12. 12.Write 1.3 × 10⁻⁴ as a decimal. =
  13. 13.Write 2.9 × 10⁻² as a decimal. =
  14. 14.What is the value of 5⁴ × 5⁻¹? =
  15. 15.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  16. 16.What is the value of 10⁵ × 10⁻²? =
  17. 17.4.7 × 10⁷ =
  18. 18.Write 15,000 in standard form as 1.5 × 10ⁿ. What is n?
  19. 19.Write 2.3 × 10⁻³ as a decimal. =
  20. 20.Write 4¹⁶ ÷ 4⁸ as a single power 4ⁿ. What is n?
  21. 21.Write 8,80,00,000 in standard form as 8.8 × 10ⁿ. What is n?
  22. 22.Write 2⁵ × 2⁷ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 7⁵? =
  24. 24.What is the value of 3³? =
  25. 25.7.2 × 10⁶ =
  26. 26.What is the value of (1/7)⁻²? =
  27. 27.What is the value of 7³? =
  28. 28.Write 2² × 2⁸ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 10⁶ × 10⁻¹? =
  30. 30.Write 2.5 × 10⁻³ as a decimal. =
  31. 31.Write 8.1 × 10⁻¹ as a decimal. =
  32. 32.What is the value of (3/4)⁻¹? =
  33. 33.Write 1.5 × 10⁻³ as a decimal. =
  34. 34.What is the value of 3¹ × 3⁻²? =
  35. 35.Write 8,70,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  36. 36.What is the value of 5⁶ × 5⁻⁶? =
  37. 37.What is the value of 3² × 3⁻³? =
  38. 38.What is the value of 2³ × 2⁻³? =
  39. 39.What is the value of 4⁻³ (as a fraction)? =
  40. 40.Write 4,50,00,000 in standard form as 4.5 × 10ⁿ. What is n?

Answer key

  1. 6561
  2. 6
  3. 1024
  4. 1/125
  5. 9
  6. 98000000
  7. 0.0084
  8. 5/2
  9. 1/10
  10. 11
  11. 8
  12. 0.00013
  13. 0.029
  14. 125
  15. 7
  16. 1000
  17. 47000000
  18. 4
  19. 0.0023
  20. 8
  21. 7
  22. 12
  23. 16807
  24. 27
  25. 7200000
  26. 49
  27. 343
  28. 10
  29. 100000
  30. 0.0025
  31. 0.81
  32. 4/3
  33. 0.0015
  34. 1/3
  35. 7
  36. 1
  37. 1/3
  38. 1
  39. 1/64
  40. 7

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