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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 628 · 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 5² × 5⁻⁵? =
  2. 2.Write 3 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 4⁷? =
  4. 4.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  5. 5.Write 4¹² ÷ 4³ as a single power 4ⁿ. What is n?
  6. 6.Write 4⁷ × 4³ as a single power 4ⁿ. What is n?
  7. 7.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?
  8. 8.Write (4⁴)⁸ as a single power 4ⁿ. What is n?
  9. 9.Write 58,000 in standard form as 5.8 × 10ⁿ. What is n?
  10. 10.Write 4⁷ × 4⁴ as a single power 4ⁿ. What is n?
  11. 11.Write 8.7 × 10⁻³ as a decimal. =
  12. 12.What is the value of 3¹⁰? =
  13. 13.Write 2¹⁶ ÷ 2⁷ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 3⁴ × 3⁻³? =
  15. 15.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  16. 16.Write 6.2 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 4³? =
  18. 18.What is the value of 3³? =
  19. 19.Write 7.9 × 10⁻² as a decimal. =
  20. 20.What is the value of 10⁴? =
  21. 21.2.2 × 10³ =
  22. 22.What is the value of 5¹ × 5⁻²? =
  23. 23.Write 2.4 × 10⁻¹ as a decimal. =
  24. 24.Write 6¹⁰ ÷ 6⁷ as a single power 6ⁿ. What is n?
  25. 25.Write (7²)⁴ as a single power 7ⁿ. What is n?
  26. 26.Write (2⁶)⁴ as a single power 2ⁿ. What is n?
  27. 27.What is the value of 5⁷? =
  28. 28.What is the value of 2⁵? =
  29. 29.Write 7² × 7⁵ as a single power 7ⁿ. What is n?
  30. 30.Write 4 × 10⁻¹ as a decimal. =
  31. 31.Write (8³)⁷ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 2⁻² (as a fraction)? =
  33. 33.Write (9⁸)² as a single power 9ⁿ. What is n?
  34. 34.6.6 × 10² =
  35. 35.Write 87,000 in standard form as 8.7 × 10ⁿ. What is n?
  36. 36.Write 3.4 × 10⁻² as a decimal. =
  37. 37.What is the value of 9⁵? =
  38. 38.What is the value of 5⁵ × 5⁻³? =
  39. 39.Write 1.7 × 10⁻⁴ as a decimal. =
  40. 40.Write 210 in standard form as 2.1 × 10ⁿ. What is n?

Answer key

  1. 1/125
  2. 0.0003
  3. 16384
  4. 4
  5. 9
  6. 10
  7. 6
  8. 32
  9. 4
  10. 11
  11. 0.0087
  12. 59049
  13. 9
  14. 3
  15. 7
  16. 0.62
  17. 64
  18. 27
  19. 0.079
  20. 10000
  21. 2200
  22. 1/5
  23. 0.24
  24. 3
  25. 8
  26. 24
  27. 78125
  28. 32
  29. 7
  30. 0.4
  31. 21
  32. 1/4
  33. 16
  34. 660
  35. 4
  36. 0.034
  37. 59049
  38. 25
  39. 0.00017
  40. 2

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