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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 69 · 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 6 × 10⁻² as a decimal. =
  2. 2.What is the value of (1/3)⁻¹? =
  3. 3.Write 7.3 × 10⁻² as a decimal. =
  4. 4.Write 5,30,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  5. 5.Write 1.4 × 10⁻⁴ as a decimal. =
  6. 6.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  7. 7.What is the value of 10¹ × 10⁻¹? =
  8. 8.What is the value of 10⁵? =
  9. 9.What is the value of 3²? =
  10. 10.What is the value of 2¹⁶? =
  11. 11.Write 9,200 in standard form as 9.2 × 10ⁿ. What is n?
  12. 12.Write 4.5 × 10⁻² as a decimal. =
  13. 13.3.1 × 10³ =
  14. 14.Write (7⁴)⁶ as a single power 7ⁿ. What is n?
  15. 15.What is the value of (1/3)⁻²? =
  16. 16.What is the value of 5⁵? =
  17. 17.What is the value of 4⁸? =
  18. 18.Write 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
  19. 19.Write 9.4 × 10⁻² as a decimal. =
  20. 20.What is the value of 10⁶ × 10⁻⁴? =
  21. 21.What is the value of (8/9)⁻²? =
  22. 22.What is the value of 3² × 3⁻³? =
  23. 23.What is the value of 10⁻² (as a fraction)? =
  24. 24.Write 3¹⁶ ÷ 3⁹ as a single power 3ⁿ. What is n?
  25. 25.Write 3.4 × 10⁻² as a decimal. =
  26. 26.Write 6¹¹ ÷ 6² as a single power 6ⁿ. What is n?
  27. 27.Write 3¹⁴ ÷ 3⁷ as a single power 3ⁿ. What is n?
  28. 28.8.9 × 10⁶ =
  29. 29.Write 2⁴ × 2⁸ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 7⁵? =
  31. 31.What is the value of 2⁻⁹ (as a fraction)? =
  32. 32.Write (9⁶)⁵ as a single power 9ⁿ. What is n?
  33. 33.Write 7,80,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  34. 34.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  35. 35.What is the value of 8⁻² (as a fraction)? =
  36. 36.Write 7,700 in standard form as 7.7 × 10ⁿ. What is n?
  37. 37.What is the value of 5⁷? =
  38. 38.What is the value of 8⁻¹ (as a fraction)? =
  39. 39.Write (6³)² as a single power 6ⁿ. What is n?
  40. 40.What is the value of 5⁴? =

Answer key

  1. 0.06
  2. 3
  3. 0.073
  4. 7
  5. 0.00014
  6. 12
  7. 1
  8. 100000
  9. 9
  10. 65536
  11. 3
  12. 0.045
  13. 3100
  14. 24
  15. 9
  16. 3125
  17. 65536
  18. 16
  19. 0.094
  20. 100
  21. 81/64
  22. 1/3
  23. 1/100
  24. 7
  25. 0.034
  26. 9
  27. 7
  28. 8900000
  29. 12
  30. 16807
  31. 1/512
  32. 30
  33. 7
  34. 6
  35. 1/64
  36. 3
  37. 78125
  38. 1/8
  39. 6
  40. 625

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