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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 471 · 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 3⁻⁶ (as a fraction)? =
  2. 2.Write 3 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 5² × 5⁻¹? =
  4. 4.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  5. 5.2.2 × 10⁵ =
  6. 6.Write 3¹⁵ ÷ 3⁸ as a single power 3ⁿ. What is n?
  7. 7.Write 4⁸ ÷ 4⁶ as a single power 4ⁿ. What is n?
  8. 8.What is the value of 2¹¹? =
  9. 9.What is the value of 7²? =
  10. 10.9.4 × 10² =
  11. 11.Write 9,00,000 in standard form as 9 × 10ⁿ. What is n?
  12. 12.What is the value of (7/8)⁻²? =
  13. 13.2 × 10⁴ =
  14. 14.Write 3⁶ × 3⁶ as a single power 3ⁿ. What is n?
  15. 15.Write (6²)² as a single power 6ⁿ. What is n?
  16. 16.Write 9.6 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 7⁻² (as a fraction)? =
  18. 18.Write 500 in standard form as 5 × 10ⁿ. What is n?
  19. 19.Write 7.9 × 10⁻⁴ as a decimal. =
  20. 20.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  21. 21.What is the value of 2¹ × 2⁻²? =
  22. 22.Write (3⁵)⁵ as a single power 3ⁿ. What is n?
  23. 23.Write 4.2 × 10⁻³ as a decimal. =
  24. 24.What is the value of 2¹³? =
  25. 25.What is the value of 3⁻³ (as a fraction)? =
  26. 26.Write (5⁴)⁶ as a single power 5ⁿ. What is n?
  27. 27.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  28. 28.Write 6.7 × 10⁻² as a decimal. =
  29. 29.What is the value of 5¹ × 5⁻⁴? =
  30. 30.Write 7 × 10⁻³ as a decimal. =
  31. 31.What is the value of 5¹ × 5⁻⁶? =
  32. 32.Write 7¹² ÷ 7⁶ as a single power 7ⁿ. What is n?
  33. 33.What is the value of 10³? =
  34. 34.Write 5.8 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2¹²? =
  36. 36.What is the value of 5³? =
  37. 37.Write (4⁶)⁷ as a single power 4ⁿ. What is n?
  38. 38.1.6 × 10⁴ =
  39. 39.Write 9⁷ × 9⁹ as a single power 9ⁿ. What is n?
  40. 40.Write 6¹⁰ ÷ 6⁸ as a single power 6ⁿ. What is n?

Answer key

  1. 1/729
  2. 0.0003
  3. 5
  4. 2
  5. 220000
  6. 7
  7. 2
  8. 2048
  9. 49
  10. 940
  11. 5
  12. 64/49
  13. 20000
  14. 12
  15. 4
  16. 0.00096
  17. 1/49
  18. 2
  19. 0.00079
  20. 3
  21. 1/2
  22. 25
  23. 0.0042
  24. 8192
  25. 1/27
  26. 24
  27. 3
  28. 0.067
  29. 1/125
  30. 0.007
  31. 1/3125
  32. 6
  33. 1000
  34. 0.0058
  35. 4096
  36. 125
  37. 42
  38. 16000
  39. 16
  40. 2

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