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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 282 · 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 9¹⁶ ÷ 9⁷ as a single power 9ⁿ. What is n?
  2. 2.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  3. 3.Write 2,60,000 in standard form as 2.6 × 10ⁿ. What is n?
  4. 4.What is the value of 9⁻³ (as a fraction)? =
  5. 5.Write (7⁷)⁵ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 5² × 5⁻¹? =
  7. 7.Write 5⁸ × 5⁸ as a single power 5ⁿ. What is n?
  8. 8.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  9. 9.What is the value of (5/9)⁻¹? =
  10. 10.Write (3⁸)⁴ as a single power 3ⁿ. What is n?
  11. 11.What is the value of (2/3)⁻¹? =
  12. 12.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?
  13. 13.What is the value of 2⁷? =
  14. 14.What is the value of 3⁶? =
  15. 15.What is the value of 4²? =
  16. 16.Write 13,000 in standard form as 1.3 × 10ⁿ. What is n?
  17. 17.What is the value of (1/4)⁻¹? =
  18. 18.Write 2,300 in standard form as 2.3 × 10ⁿ. What is n?
  19. 19.What is the value of 5⁵ × 5⁻⁶? =
  20. 20.What is the value of 5⁶ × 5⁻⁶? =
  21. 21.What is the value of (3/8)⁻¹? =
  22. 22.What is the value of (5/7)⁻¹? =
  23. 23.What is the value of 4⁻² (as a fraction)? =
  24. 24.Write 2.4 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 4³? =
  26. 26.Write (5⁸)⁵ as a single power 5ⁿ. What is n?
  27. 27.What is the value of 2⁴ × 2⁻¹? =
  28. 28.What is the value of 9⁻¹ (as a fraction)? =
  29. 29.Write 8,500 in standard form as 8.5 × 10ⁿ. What is n?
  30. 30.What is the value of (5/8)⁻²? =
  31. 31.1.7 × 10⁷ =
  32. 32.Write 9.2 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of 5⁴ × 5⁻³? =
  34. 34.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
  35. 35.What is the value of 2⁸? =
  36. 36.What is the value of 6⁴? =
  37. 37.What is the value of 10³? =
  38. 38.What is the value of (1/3)⁻²? =
  39. 39.What is the value of 6⁶? =
  40. 40.Write 7.8 × 10⁻³ as a decimal. =

Answer key

  1. 9
  2. 9
  3. 5
  4. 1/729
  5. 35
  6. 5
  7. 16
  8. 17
  9. 9/5
  10. 32
  11. 3/2
  12. 14
  13. 128
  14. 729
  15. 16
  16. 4
  17. 4
  18. 3
  19. 1/5
  20. 1
  21. 8/3
  22. 7/5
  23. 1/16
  24. 0.00024
  25. 64
  26. 40
  27. 8
  28. 1/9
  29. 3
  30. 64/25
  31. 17000000
  32. 0.00092
  33. 5
  34. 2
  35. 256
  36. 1296
  37. 1000
  38. 9
  39. 46656
  40. 0.0078

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