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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 909 · 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 1.5 × 10⁻³ as a decimal. =
  2. 2.What is the value of 5⁻² (as a fraction)? =
  3. 3.Write 3¹⁰ ÷ 3⁶ as a single power 3ⁿ. What is n?
  4. 4.2.3 × 10³ =
  5. 5.What is the value of 2¹³? =
  6. 6.Write 3.4 × 10⁻¹ as a decimal. =
  7. 7.Write 8¹⁰ ÷ 8⁸ as a single power 8ⁿ. What is n?
  8. 8.What is the value of 10⁵ × 10⁻⁵? =
  9. 9.What is the value of 2¹²? =
  10. 10.What is the value of 4³? =
  11. 11.Write (9⁹)⁶ as a single power 9ⁿ. What is n?
  12. 12.What is the value of 3⁴? =
  13. 13.What is the value of 3⁶ × 3⁻⁴? =
  14. 14.Write 72,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  15. 15.What is the value of 10⁻² (as a fraction)? =
  16. 16.Write 6⁴ × 6⁷ as a single power 6ⁿ. What is n?
  17. 17.What is the value of 9⁻¹ (as a fraction)? =
  18. 18.Write 6.8 × 10⁻³ as a decimal. =
  19. 19.What is the value of 3⁹? =
  20. 20.Write 8⁸ ÷ 8⁵ as a single power 8ⁿ. What is n?
  21. 21.Write 1.6 × 10⁻³ as a decimal. =
  22. 22.Write 9.9 × 10⁻¹ as a decimal. =
  23. 23.Write 1.3 × 10⁻³ as a decimal. =
  24. 24.Write (5⁵)⁸ as a single power 5ⁿ. What is n?
  25. 25.Write 7¹⁷ ÷ 7⁸ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 5⁷? =
  27. 27.Write 1.1 × 10⁻⁴ as a decimal. =
  28. 28.Write 3⁴ × 3⁴ as a single power 3ⁿ. What is n?
  29. 29.Write 3.1 × 10⁻² as a decimal. =
  30. 30.What is the value of 9⁴? =
  31. 31.Write 5.2 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 10³ × 10⁻⁵? =
  33. 33.What is the value of 10²? =
  34. 34.What is the value of 10¹ × 10⁻⁵? =
  35. 35.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?
  36. 36.3.5 × 10² =
  37. 37.Write 9.1 × 10⁻⁴ as a decimal. =
  38. 38.Write 7.9 × 10⁻⁴ as a decimal. =
  39. 39.Write 46,000 in standard form as 4.6 × 10ⁿ. What is n?
  40. 40.Write 59,000 in standard form as 5.9 × 10ⁿ. What is n?

Answer key

  1. 0.0015
  2. 1/25
  3. 4
  4. 2300
  5. 8192
  6. 0.34
  7. 2
  8. 1
  9. 4096
  10. 64
  11. 54
  12. 81
  13. 9
  14. 6
  15. 1/100
  16. 11
  17. 1/9
  18. 0.0068
  19. 19683
  20. 3
  21. 0.0016
  22. 0.99
  23. 0.0013
  24. 40
  25. 9
  26. 78125
  27. 0.00011
  28. 8
  29. 0.031
  30. 6561
  31. 0.52
  32. 1/100
  33. 100
  34. 1/10000
  35. 3
  36. 350
  37. 0.00091
  38. 0.00079
  39. 4
  40. 4

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