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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 840 · 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. 1.2.7 × 10² =
  2. 2.6.9 × 10⁵ =
  3. 3.Write 5.4 × 10⁻² as a decimal. =
  4. 4.What is the value of 2⁻⁸ (as a fraction)? =
  5. 5.Write 8¹⁶ ÷ 8⁹ as a single power 8ⁿ. What is n?
  6. 6.What is the value of 2¹ × 2⁻¹? =
  7. 7.Write (6⁷)³ as a single power 6ⁿ. What is n?
  8. 8.What is the value of 3⁵ × 3⁻²? =
  9. 9.What is the value of 2⁶ × 2⁻⁴? =
  10. 10.What is the value of (2/5)⁻²? =
  11. 11.What is the value of 10³ × 10⁻²? =
  12. 12.Write 3.6 × 10⁻² as a decimal. =
  13. 13.Write 7³ × 7⁵ as a single power 7ⁿ. What is n?
  14. 14.What is the value of (5/6)⁻¹? =
  15. 15.What is the value of 3² × 3⁻⁵? =
  16. 16.Write 9,00,00,000 in standard form as 9 × 10ⁿ. What is n?
  17. 17.What is the value of 2⁶ × 2⁻³? =
  18. 18.Write 2.7 × 10⁻¹ as a decimal. =
  19. 19.3.6 × 10² =
  20. 20.What is the value of 10³? =
  21. 21.What is the value of 3¹⁰? =
  22. 22.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  23. 23.What is the value of 2³ × 2⁻⁶? =
  24. 24.What is the value of 10¹ × 10⁻³? =
  25. 25.Write 5.4 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of (8/9)⁻¹? =
  27. 27.What is the value of 3² × 3⁻²? =
  28. 28.Write 2.5 × 10⁻³ as a decimal. =
  29. 29.What is the value of (7/9)⁻²? =
  30. 30.8.6 × 10⁵ =
  31. 31.6.4 × 10⁴ =
  32. 32.What is the value of 5⁴? =
  33. 33.What is the value of 2⁵ × 2⁻⁵? =
  34. 34.What is the value of 10⁻² (as a fraction)? =
  35. 35.What is the value of 2³ × 2⁻²? =
  36. 36.2.1 × 10⁵ =
  37. 37.Write (8³)⁸ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 5³ × 5⁻²? =
  39. 39.What is the value of 3⁻⁴ (as a fraction)? =
  40. 40.Write 2¹² ÷ 2³ as a single power 2ⁿ. What is n?

Answer key

  1. 270
  2. 690000
  3. 0.054
  4. 1/256
  5. 7
  6. 1
  7. 21
  8. 27
  9. 4
  10. 25/4
  11. 10
  12. 0.036
  13. 8
  14. 6/5
  15. 1/27
  16. 7
  17. 8
  18. 0.27
  19. 360
  20. 1000
  21. 59049
  22. 4
  23. 1/8
  24. 1/100
  25. 0.00054
  26. 9/8
  27. 1
  28. 0.0025
  29. 81/49
  30. 860000
  31. 64000
  32. 625
  33. 1
  34. 1/100
  35. 2
  36. 210000
  37. 24
  38. 5
  39. 1/81
  40. 9

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