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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 505 · 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.Write (3⁸)⁹ as a single power 3ⁿ. What is n?
  3. 3.What is the value of 3² × 3⁻³? =
  4. 4.2.3 × 10⁴ =
  5. 5.Write 6⁵ × 6⁵ as a single power 6ⁿ. What is n?
  6. 6.Write 3.1 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 9²? =
  8. 8.What is the value of 10¹ × 10⁻²? =
  9. 9.What is the value of 5⁴? =
  10. 10.4.6 × 10⁵ =
  11. 11.What is the value of 6⁻³ (as a fraction)? =
  12. 12.Write 2⁵ × 2⁵ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 10³ × 10⁻³? =
  14. 14.What is the value of (2/9)⁻¹? =
  15. 15.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
  16. 16.What is the value of 9⁻² (as a fraction)? =
  17. 17.What is the value of 5⁻² (as a fraction)? =
  18. 18.2 × 10⁵ =
  19. 19.What is the value of 3⁵? =
  20. 20.What is the value of 2⁻⁵ (as a fraction)? =
  21. 21.What is the value of 5² × 5⁻⁵? =
  22. 22.6.8 × 10³ =
  23. 23.What is the value of 10⁶ × 10⁻⁴? =
  24. 24.What is the value of (5/6)⁻¹? =
  25. 25.Write 5.6 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 5² × 5⁻⁴? =
  27. 27.Write 18,000 in standard form as 1.8 × 10ⁿ. What is n?
  28. 28.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  29. 29.Write (4³)⁸ as a single power 4ⁿ. What is n?
  30. 30.What is the value of 3³ × 3⁻⁴? =
  31. 31.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  32. 32.What is the value of 5⁶ × 5⁻⁶? =
  33. 33.Write 1.8 × 10⁻¹ as a decimal. =
  34. 34.5.1 × 10² =
  35. 35.Write 3² × 3⁸ as a single power 3ⁿ. What is n?
  36. 36.Write (5⁹)⁶ as a single power 5ⁿ. What is n?
  37. 37.9.9 × 10³ =
  38. 38.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  39. 39.Write 2 × 10⁻³ as a decimal. =
  40. 40.What is the value of 2⁶? =

Answer key

  1. 1
  2. 72
  3. 1/3
  4. 23000
  5. 10
  6. 0.00031
  7. 81
  8. 1/10
  9. 625
  10. 460000
  11. 1/216
  12. 10
  13. 1
  14. 9/2
  15. 9
  16. 1/81
  17. 1/25
  18. 200000
  19. 243
  20. 1/32
  21. 1/125
  22. 6800
  23. 100
  24. 6/5
  25. 0.00056
  26. 1/25
  27. 4
  28. 6
  29. 24
  30. 1/3
  31. 5
  32. 1
  33. 0.18
  34. 510
  35. 10
  36. 54
  37. 9900
  38. 7
  39. 0.002
  40. 64

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