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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 776 · 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 2² × 2⁻⁶? =
  2. 2.2.2 × 10³ =
  3. 3.Write 9⁶ × 9⁵ as a single power 9ⁿ. What is n?
  4. 4.Write 4¹⁵ ÷ 4⁹ as a single power 4ⁿ. What is n?
  5. 5.What is the value of (2/3)⁻¹? =
  6. 6.What is the value of 2⁻⁹ (as a fraction)? =
  7. 7.What is the value of 2⁵ × 2⁻³? =
  8. 8.What is the value of 2⁶? =
  9. 9.What is the value of 3² × 3⁻³? =
  10. 10.6.3 × 10⁵ =
  11. 11.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  12. 12.What is the value of 3⁶? =
  13. 13.Write (7⁷)⁹ as a single power 7ⁿ. What is n?
  14. 14.What is the value of (5/8)⁻²? =
  15. 15.Write 5.6 × 10⁻³ as a decimal. =
  16. 16.Write 8.2 × 10⁻² as a decimal. =
  17. 17.4 × 10⁶ =
  18. 18.What is the value of 7⁵? =
  19. 19.Write 9⁸ × 9⁹ as a single power 9ⁿ. What is n?
  20. 20.What is the value of 2³ × 2⁻³? =
  21. 21.Write 490 in standard form as 4.9 × 10ⁿ. What is n?
  22. 22.Write 5,60,000 in standard form as 5.6 × 10ⁿ. What is n?
  23. 23.8.3 × 10³ =
  24. 24.What is the value of 3⁻³ (as a fraction)? =
  25. 25.7.7 × 10⁶ =
  26. 26.What is the value of 2⁹? =
  27. 27.What is the value of 10²? =
  28. 28.Write (4²)² as a single power 4ⁿ. What is n?
  29. 29.What is the value of 2¹ × 2⁻⁴? =
  30. 30.What is the value of 10⁻² (as a fraction)? =
  31. 31.What is the value of 3⁵ × 3⁻⁵? =
  32. 32.What is the value of 2⁻⁵ (as a fraction)? =
  33. 33.Write 2.9 × 10⁻³ as a decimal. =
  34. 34.What is the value of 10¹ × 10⁻⁴? =
  35. 35.What is the value of 10¹ × 10⁻⁵? =
  36. 36.8 × 10⁴ =
  37. 37.What is the value of 2¹⁰? =
  38. 38.What is the value of 10³ × 10⁻⁴? =
  39. 39.What is the value of 5⁻⁴ (as a fraction)? =
  40. 40.Write 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?

Answer key

  1. 1/16
  2. 2200
  3. 11
  4. 6
  5. 3/2
  6. 1/512
  7. 4
  8. 64
  9. 1/3
  10. 630000
  11. 2
  12. 729
  13. 63
  14. 64/25
  15. 0.0056
  16. 0.082
  17. 4000000
  18. 16807
  19. 17
  20. 1
  21. 2
  22. 5
  23. 8300
  24. 1/27
  25. 7700000
  26. 512
  27. 100
  28. 4
  29. 1/8
  30. 1/100
  31. 1
  32. 1/32
  33. 0.0029
  34. 1/1000
  35. 1/10000
  36. 80000
  37. 1024
  38. 1/10
  39. 1/625
  40. 8

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