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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 312 · 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 10¹ × 10⁻⁶? =
  2. 2.What is the value of 9⁵? =
  3. 3.Write 6.4 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 3⁶ × 3⁻³? =
  5. 5.What is the value of 2⁻⁹ (as a fraction)? =
  6. 6.What is the value of 4⁻¹ (as a fraction)? =
  7. 7.Write 8¹³ ÷ 8⁸ as a single power 8ⁿ. What is n?
  8. 8.Write (4⁶)³ as a single power 4ⁿ. What is n?
  9. 9.3.6 × 10³ =
  10. 10.Write 3.5 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 4⁷? =
  12. 12.Write 2⁵ × 2² as a single power 2ⁿ. What is n?
  13. 13.3.7 × 10³ =
  14. 14.Write (3⁴)⁴ as a single power 3ⁿ. What is n?
  15. 15.What is the value of (7/9)⁻²? =
  16. 16.What is the value of 5⁷? =
  17. 17.8.7 × 10² =
  18. 18.What is the value of 4³? =
  19. 19.1.7 × 10⁴ =
  20. 20.What is the value of 3¹ × 3⁻¹? =
  21. 21.Write 9.6 × 10⁻¹ as a decimal. =
  22. 22.Write (4⁵)³ as a single power 4ⁿ. What is n?
  23. 23.Write 9,60,000 in standard form as 9.6 × 10ⁿ. What is n?
  24. 24.Write 3⁵ × 3⁷ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 10²? =
  26. 26.What is the value of 10¹ × 10⁻³? =
  27. 27.What is the value of 10³ × 10⁻¹? =
  28. 28.2.6 × 10⁴ =
  29. 29.What is the value of 2² × 2⁻¹? =
  30. 30.Write 1,20,000 in standard form as 1.2 × 10ⁿ. What is n?
  31. 31.What is the value of 6⁵? =
  32. 32.1.2 × 10⁵ =
  33. 33.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
  34. 34.Write 71,000 in standard form as 7.1 × 10ⁿ. What is n?
  35. 35.7.6 × 10³ =
  36. 36.What is the value of (1/4)⁻¹? =
  37. 37.4.1 × 10³ =
  38. 38.What is the value of 2¹⁶? =
  39. 39.Write 9⁴ × 9³ as a single power 9ⁿ. What is n?
  40. 40.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 1/100000
  2. 59049
  3. 0.64
  4. 27
  5. 1/512
  6. 1/4
  7. 5
  8. 18
  9. 3600
  10. 0.35
  11. 16384
  12. 7
  13. 3700
  14. 16
  15. 81/49
  16. 78125
  17. 870
  18. 64
  19. 17000
  20. 1
  21. 0.96
  22. 15
  23. 5
  24. 12
  25. 100
  26. 1/100
  27. 100
  28. 26000
  29. 2
  30. 5
  31. 7776
  32. 120000
  33. 2
  34. 4
  35. 7600
  36. 4
  37. 4100
  38. 65536
  39. 7
  40. 10

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