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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 575 · 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 7⁻² (as a fraction)? =
  2. 2.What is the value of 3⁴ × 3⁻¹? =
  3. 3.Write 9.7 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 6²? =
  5. 5.4.3 × 10⁷ =
  6. 6.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  7. 7.What is the value of (2/7)⁻¹? =
  8. 8.What is the value of 6⁻² (as a fraction)? =
  9. 9.What is the value of 10³ × 10⁻⁴? =
  10. 10.Write 4,90,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  11. 11.What is the value of 5⁻³ (as a fraction)? =
  12. 12.Write 9¹⁵ ÷ 9⁸ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 7³? =
  14. 14.Write 6.1 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 5⁴ × 5⁻³? =
  16. 16.What is the value of 3⁶ × 3⁻⁴? =
  17. 17.2.4 × 10⁵ =
  18. 18.What is the value of 5⁴ × 5⁻⁴? =
  19. 19.What is the value of 2¹⁴? =
  20. 20.What is the value of 3⁸? =
  21. 21.Write 5.1 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of 5⁴ × 5⁻⁶? =
  23. 23.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
  24. 24.Write 6,80,000 in standard form as 6.8 × 10ⁿ. What is n?
  25. 25.What is the value of 5⁷? =
  26. 26.What is the value of 10²? =
  27. 27.What is the value of 2⁵ × 2⁻⁶? =
  28. 28.What is the value of (6/7)⁻¹? =
  29. 29.What is the value of (1/3)⁻²? =
  30. 30.What is the value of 2⁻⁹ (as a fraction)? =
  31. 31.Write 3.7 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 4⁸? =
  33. 33.Write 9 × 10⁻⁴ as a decimal. =
  34. 34.Write 5.4 × 10⁻⁴ as a decimal. =
  35. 35.Write 2.4 × 10⁻³ as a decimal. =
  36. 36.What is the value of 5³ × 5⁻²? =
  37. 37.Write 46,000 in standard form as 4.6 × 10ⁿ. What is n?
  38. 38.What is the value of 3⁵ × 3⁻³? =
  39. 39.6.7 × 10² =
  40. 40.7.9 × 10⁴ =

Answer key

  1. 1/49
  2. 27
  3. 0.00097
  4. 36
  5. 43000000
  6. 3
  7. 7/2
  8. 1/36
  9. 1/10
  10. 7
  11. 1/125
  12. 7
  13. 343
  14. 0.61
  15. 5
  16. 9
  17. 240000
  18. 1
  19. 16384
  20. 6561
  21. 0.00051
  22. 1/25
  23. 4
  24. 5
  25. 78125
  26. 100
  27. 1/2
  28. 7/6
  29. 9
  30. 1/512
  31. 0.37
  32. 65536
  33. 0.0009
  34. 0.00054
  35. 0.0024
  36. 5
  37. 4
  38. 9
  39. 670
  40. 79000

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