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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 136 · 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 2¹ × 2⁻¹? =
  2. 2.What is the value of 9⁻¹ (as a fraction)? =
  3. 3.Write 9.5 × 10⁻³ as a decimal. =
  4. 4.What is the value of 10³ × 10⁻²? =
  5. 5.What is the value of 7²? =
  6. 6.Write 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  7. 7.What is the value of 2³ × 2⁻⁵? =
  8. 8.Write (2²)⁶ as a single power 2ⁿ. What is n?
  9. 9.Write 1.5 × 10⁻² as a decimal. =
  10. 10.Write (3⁶)⁸ as a single power 3ⁿ. What is n?
  11. 11.Write 2⁵ × 2⁷ as a single power 2ⁿ. What is n?
  12. 12.Write 2¹³ ÷ 2⁴ as a single power 2ⁿ. What is n?
  13. 13.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
  14. 14.2.4 × 10⁶ =
  15. 15.3 × 10² =
  16. 16.Write 6.9 × 10⁻¹ as a decimal. =
  17. 17.9.7 × 10³ =
  18. 18.What is the value of 3⁹? =
  19. 19.What is the value of 3⁵? =
  20. 20.What is the value of 10⁻² (as a fraction)? =
  21. 21.Write 1.3 × 10⁻⁴ as a decimal. =
  22. 22.Write (2³)³ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 5⁵ × 5⁻⁵? =
  24. 24.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  25. 25.5.7 × 10² =
  26. 26.What is the value of 10⁴ × 10⁻¹? =
  27. 27.4.2 × 10² =
  28. 28.What is the value of 5⁵ × 5⁻¹? =
  29. 29.Write 8⁶ × 8⁶ as a single power 8ⁿ. What is n?
  30. 30.Write 2 × 10⁻¹ as a decimal. =
  31. 31.What is the value of (5/9)⁻²? =
  32. 32.What is the value of 3⁵ × 3⁻³? =
  33. 33.What is the value of 10⁴ × 10⁻⁵? =
  34. 34.Write 4.6 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2¹²? =
  36. 36.What is the value of 7⁻³ (as a fraction)? =
  37. 37.What is the value of 6⁵? =
  38. 38.Write 400 in standard form as 4 × 10ⁿ. What is n?
  39. 39.What is the value of 10⁴? =
  40. 40.Write 4² × 4⁹ as a single power 4ⁿ. What is n?

Answer key

  1. 1
  2. 1/9
  3. 0.0095
  4. 10
  5. 49
  6. 6
  7. 1/4
  8. 12
  9. 0.015
  10. 48
  11. 12
  12. 9
  13. 3
  14. 2400000
  15. 300
  16. 0.69
  17. 9700
  18. 19683
  19. 243
  20. 1/100
  21. 0.00013
  22. 9
  23. 1
  24. 6
  25. 570
  26. 1000
  27. 420
  28. 625
  29. 12
  30. 0.2
  31. 81/25
  32. 9
  33. 1/10
  34. 0.0046
  35. 4096
  36. 1/343
  37. 7776
  38. 2
  39. 10000
  40. 11

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