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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 641 · 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 10⁶ × 10⁻⁶? =
  2. 2.Write 3,70,00,000 in standard form as 3.7 × 10ⁿ. What is n?
  3. 3.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  4. 4.What is the value of 2⁻⁷ (as a fraction)? =
  5. 5.Write (7⁵)⁴ as a single power 7ⁿ. What is n?
  6. 6.What is the value of (1/4)⁻²? =
  7. 7.What is the value of 2⁻⁹ (as a fraction)? =
  8. 8.What is the value of 3⁻³ (as a fraction)? =
  9. 9.What is the value of 8⁻³ (as a fraction)? =
  10. 10.Write 4⁶ × 4⁷ as a single power 4ⁿ. What is n?
  11. 11.What is the value of (3/8)⁻²? =
  12. 12.What is the value of 3² × 3⁻⁵? =
  13. 13.Write 99,000 in standard form as 9.9 × 10ⁿ. What is n?
  14. 14.What is the value of 2⁸? =
  15. 15.What is the value of 5²? =
  16. 16.What is the value of 3⁸? =
  17. 17.7.4 × 10⁷ =
  18. 18.Write 4⁸ ÷ 4² as a single power 4ⁿ. What is n?
  19. 19.Write 2.1 × 10⁻² as a decimal. =
  20. 20.3.2 × 10⁴ =
  21. 21.Write 3¹⁰ ÷ 3⁴ as a single power 3ⁿ. What is n?
  22. 22.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  23. 23.What is the value of 9⁴? =
  24. 24.Write 3⁶ × 3⁷ as a single power 3ⁿ. What is n?
  25. 25.What is the value of (1/6)⁻¹? =
  26. 26.What is the value of (5/8)⁻²? =
  27. 27.What is the value of 9⁻² (as a fraction)? =
  28. 28.3 × 10³ =
  29. 29.What is the value of 3⁶ × 3⁻¹? =
  30. 30.What is the value of 5³ × 5⁻⁶? =
  31. 31.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  32. 32.Write 9.2 × 10⁻² as a decimal. =
  33. 33.Write 9² × 9⁶ as a single power 9ⁿ. What is n?
  34. 34.Write (7³)² as a single power 7ⁿ. What is n?
  35. 35.Write 9,50,00,000 in standard form as 9.5 × 10ⁿ. What is n?
  36. 36.Write 5⁴ × 5⁴ as a single power 5ⁿ. What is n?
  37. 37.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  38. 38.Write 67,00,000 in standard form as 6.7 × 10ⁿ. What is n?
  39. 39.What is the value of 6⁵? =
  40. 40.What is the value of 3⁹? =

Answer key

  1. 1
  2. 7
  3. 17
  4. 1/128
  5. 20
  6. 16
  7. 1/512
  8. 1/27
  9. 1/512
  10. 13
  11. 64/9
  12. 1/27
  13. 4
  14. 256
  15. 25
  16. 6561
  17. 74000000
  18. 6
  19. 0.021
  20. 32000
  21. 6
  22. 4
  23. 6561
  24. 13
  25. 6
  26. 64/25
  27. 1/81
  28. 3000
  29. 243
  30. 1/125
  31. 12
  32. 0.092
  33. 8
  34. 6
  35. 7
  36. 8
  37. 2
  38. 6
  39. 7776
  40. 19683

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