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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 660 · 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 3¹ × 3⁻⁴? =
  2. 2.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  3. 3.What is the value of 7³? =
  4. 4.What is the value of 10¹ × 10⁻³? =
  5. 5.Write 2,900 in standard form as 2.9 × 10ⁿ. What is n?
  6. 6.Write (6⁴)⁹ as a single power 6ⁿ. What is n?
  7. 7.Write 3⁴ × 3³ as a single power 3ⁿ. What is n?
  8. 8.What is the value of 10⁵ × 10⁻³? =
  9. 9.Write (9⁴)⁸ as a single power 9ⁿ. What is n?
  10. 10.Write 8.3 × 10⁻⁴ as a decimal. =
  11. 11.Write 9¹² ÷ 9⁹ as a single power 9ⁿ. What is n?
  12. 12.What is the value of 6⁶? =
  13. 13.Write 2.9 × 10⁻⁴ as a decimal. =
  14. 14.Write 5⁴ × 5⁷ as a single power 5ⁿ. What is n?
  15. 15.Write 5.8 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 2⁵ × 2⁻³? =
  17. 17.Write 2¹⁸ ÷ 2⁹ as a single power 2ⁿ. What is n?
  18. 18.What is the value of (4/9)⁻¹? =
  19. 19.What is the value of 3² × 3⁻⁶? =
  20. 20.Write (7²)⁵ as a single power 7ⁿ. What is n?
  21. 21.What is the value of (1/4)⁻¹? =
  22. 22.Write 9⁶ × 9⁹ as a single power 9ⁿ. What is n?
  23. 23.Write 4.6 × 10⁻³ as a decimal. =
  24. 24.What is the value of 7⁻³ (as a fraction)? =
  25. 25.What is the value of 2⁴ × 2⁻⁶? =
  26. 26.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  27. 27.Write (7²)³ as a single power 7ⁿ. What is n?
  28. 28.1.1 × 10⁶ =
  29. 29.6.7 × 10³ =
  30. 30.What is the value of (1/6)⁻²? =
  31. 31.4.5 × 10⁶ =
  32. 32.Write 2¹¹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  33. 33.Write (2⁶)³ as a single power 2ⁿ. What is n?
  34. 34.Write 77,000 in standard form as 7.7 × 10ⁿ. What is n?
  35. 35.Write 6,70,000 in standard form as 6.7 × 10ⁿ. What is n?
  36. 36.What is the value of 4²? =
  37. 37.What is the value of 10¹ × 10⁻¹? =
  38. 38.What is the value of 4⁴? =
  39. 39.Write 1.2 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 3² × 3⁻³? =

Answer key

  1. 1/27
  2. 5
  3. 343
  4. 1/100
  5. 3
  6. 36
  7. 7
  8. 100
  9. 32
  10. 0.00083
  11. 3
  12. 46656
  13. 0.00029
  14. 11
  15. 0.58
  16. 4
  17. 9
  18. 9/4
  19. 1/81
  20. 10
  21. 4
  22. 15
  23. 0.0046
  24. 1/343
  25. 1/4
  26. 2
  27. 6
  28. 1100000
  29. 6700
  30. 36
  31. 4500000
  32. 5
  33. 18
  34. 4
  35. 5
  36. 16
  37. 1
  38. 256
  39. 0.00012
  40. 1/3

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