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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 53 · 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 4.9 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 9⁴? =
  3. 3.What is the value of 5³? =
  4. 4.What is the value of (1/2)⁻²? =
  5. 5.What is the value of 10⁵ × 10⁻⁶? =
  6. 6.8.6 × 10⁶ =
  7. 7.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
  8. 8.Write 4 × 10⁻² as a decimal. =
  9. 9.Write 3⁵ × 3⁶ as a single power 3ⁿ. What is n?
  10. 10.What is the value of 2³ × 2⁻⁶? =
  11. 11.Write 5.2 × 10⁻¹ as a decimal. =
  12. 12.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  13. 13.7.5 × 10² =
  14. 14.Write 5.8 × 10⁻⁴ as a decimal. =
  15. 15.Write 4³ × 4⁸ as a single power 4ⁿ. What is n?
  16. 16.Write 4.1 × 10⁻¹ as a decimal. =
  17. 17.Write 7⁹ × 7⁸ as a single power 7ⁿ. What is n?
  18. 18.What is the value of 3⁻⁶ (as a fraction)? =
  19. 19.Write 4² × 4⁹ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 2¹⁵? =
  21. 21.What is the value of 5⁻⁴ (as a fraction)? =
  22. 22.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
  23. 23.Write 9⁷ ÷ 9⁴ as a single power 9ⁿ. What is n?
  24. 24.What is the value of 8³? =
  25. 25.What is the value of 2¹ × 2⁻⁵? =
  26. 26.What is the value of 2⁻³ (as a fraction)? =
  27. 27.What is the value of (1/3)⁻¹? =
  28. 28.3.3 × 10³ =
  29. 29.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?
  30. 30.What is the value of 5⁴? =
  31. 31.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 9²? =
  33. 33.Write 130 in standard form as 1.3 × 10ⁿ. What is n?
  34. 34.What is the value of 3¹ × 3⁻³? =
  35. 35.What is the value of 2⁶? =
  36. 36.What is the value of 2⁻⁶ (as a fraction)? =
  37. 37.What is the value of 5⁷? =
  38. 38.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  39. 39.1.6 × 10⁷ =
  40. 40.Write 6² × 6³ as a single power 6ⁿ. What is n?

Answer key

  1. 0.49
  2. 6561
  3. 125
  4. 4
  5. 1/10
  6. 8600000
  7. 4
  8. 0.04
  9. 11
  10. 1/8
  11. 0.52
  12. 6
  13. 750
  14. 0.00058
  15. 11
  16. 0.41
  17. 17
  18. 1/729
  19. 11
  20. 32768
  21. 1/625
  22. 10
  23. 3
  24. 512
  25. 1/16
  26. 1/8
  27. 3
  28. 3300
  29. 3
  30. 625
  31. 13
  32. 81
  33. 2
  34. 1/9
  35. 64
  36. 1/64
  37. 78125
  38. 4
  39. 16000000
  40. 5

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