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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 437 · 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 2,90,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  2. 2.What is the value of 2¹⁵? =
  3. 3.What is the value of (1/4)⁻¹? =
  4. 4.What is the value of 4⁶? =
  5. 5.What is the value of (7/8)⁻¹? =
  6. 6.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 6⁴? =
  8. 8.What is the value of 3¹⁰? =
  9. 9.Write 6.5 × 10⁻¹ as a decimal. =
  10. 10.4.2 × 10⁵ =
  11. 11.What is the value of 4⁻⁴ (as a fraction)? =
  12. 12.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 3⁻⁴ (as a fraction)? =
  14. 14.What is the value of 8⁻² (as a fraction)? =
  15. 15.Write 3⁷ × 3⁶ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 2⁻³ (as a fraction)? =
  17. 17.Write 4² × 4⁸ as a single power 4ⁿ. What is n?
  18. 18.Write 3.5 × 10⁻⁴ as a decimal. =
  19. 19.Write 2² × 2² as a single power 2ⁿ. What is n?
  20. 20.What is the value of 2³? =
  21. 21.Write 2 × 10⁻⁴ as a decimal. =
  22. 22.Write 8⁴ × 8³ as a single power 8ⁿ. What is n?
  23. 23.Write 62,000 in standard form as 6.2 × 10ⁿ. What is n?
  24. 24.Write 2.7 × 10⁻¹ as a decimal. =
  25. 25.What is the value of (1/6)⁻¹? =
  26. 26.What is the value of 9²? =
  27. 27.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
  28. 28.Write 7¹⁰ ÷ 7⁴ as a single power 7ⁿ. What is n?
  29. 29.Write (7⁷)⁷ as a single power 7ⁿ. What is n?
  30. 30.Write (8⁵)³ as a single power 8ⁿ. What is n?
  31. 31.Write 2.3 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 10⁴ × 10⁻²? =
  33. 33.What is the value of 2¹⁰? =
  34. 34.What is the value of 5⁻¹ (as a fraction)? =
  35. 35.Write 3⁵ × 3⁴ as a single power 3ⁿ. What is n?
  36. 36.What is the value of 10⁴ × 10⁻⁴? =
  37. 37.Write 9¹² ÷ 9⁸ as a single power 9ⁿ. What is n?
  38. 38.Write 2⁵ ÷ 2³ as a single power 2ⁿ. What is n?
  39. 39.Write 9.1 × 10⁻² as a decimal. =
  40. 40.What is the value of 5⁶ × 5⁻²? =

Answer key

  1. 7
  2. 32768
  3. 4
  4. 4096
  5. 8/7
  6. 8
  7. 1296
  8. 59049
  9. 0.65
  10. 420000
  11. 1/256
  12. 6
  13. 1/81
  14. 1/64
  15. 13
  16. 1/8
  17. 10
  18. 0.00035
  19. 4
  20. 8
  21. 0.0002
  22. 7
  23. 4
  24. 0.27
  25. 6
  26. 81
  27. 9
  28. 6
  29. 49
  30. 15
  31. 0.00023
  32. 100
  33. 1024
  34. 1/5
  35. 9
  36. 1
  37. 4
  38. 2
  39. 0.091
  40. 625

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