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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 253 · 40 sums
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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 2³? =
  2. 2.Write 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  3. 3.Write 2⁸ ÷ 2⁶ as a single power 2ⁿ. What is n?
  4. 4.Write 8.2 × 10⁻³ as a decimal. =
  5. 5.What is the value of 10¹ × 10⁻¹? =
  6. 6.What is the value of 2⁶ × 2⁻⁵? =
  7. 7.What is the value of (1/2)⁻²? =
  8. 8.Write 3⁵ × 3⁶ as a single power 3ⁿ. What is n?
  9. 9.Write (4³)⁹ as a single power 4ⁿ. What is n?
  10. 10.What is the value of 5⁴? =
  11. 11.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?
  12. 12.What is the value of 2⁸? =
  13. 13.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  14. 14.What is the value of 2¹³? =
  15. 15.Write 9¹⁵ ÷ 9⁷ as a single power 9ⁿ. What is n?
  16. 16.Write (9⁹)³ as a single power 9ⁿ. What is n?
  17. 17.5.2 × 10² =
  18. 18.What is the value of 3⁸? =
  19. 19.What is the value of 2² × 2⁻²? =
  20. 20.What is the value of (1/9)⁻¹? =
  21. 21.What is the value of 10³ × 10⁻⁴? =
  22. 22.What is the value of (2/9)⁻¹? =
  23. 23.What is the value of 10³ × 10⁻⁵? =
  24. 24.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  25. 25.6.5 × 10⁴ =
  26. 26.What is the value of 4⁵? =
  27. 27.Write 5.7 × 10⁻³ as a decimal. =
  28. 28.What is the value of 2¹ × 2⁻⁶? =
  29. 29.Write 7⁷ ÷ 7² as a single power 7ⁿ. What is n?
  30. 30.What is the value of 2⁻⁵ (as a fraction)? =
  31. 31.Write 490 in standard form as 4.9 × 10ⁿ. What is n?
  32. 32.What is the value of 3⁶ × 3⁻¹? =
  33. 33.What is the value of 4⁶? =
  34. 34.Write 4⁵ × 4⁶ as a single power 4ⁿ. What is n?
  35. 35.What is the value of (1/3)⁻¹? =
  36. 36.What is the value of 2⁶? =
  37. 37.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
  38. 38.What is the value of 10⁶ × 10⁻⁵? =
  39. 39.What is the value of 3⁶? =
  40. 40.What is the value of 2¹²? =

Answer key

  1. 8
  2. 6
  3. 2
  4. 0.0082
  5. 1
  6. 2
  7. 4
  8. 11
  9. 27
  10. 625
  11. 5
  12. 256
  13. 3
  14. 8192
  15. 8
  16. 27
  17. 520
  18. 6561
  19. 1
  20. 9
  21. 1/10
  22. 9/2
  23. 1/100
  24. 3
  25. 65000
  26. 1024
  27. 0.0057
  28. 1/32
  29. 5
  30. 1/32
  31. 2
  32. 243
  33. 4096
  34. 11
  35. 3
  36. 64
  37. 5
  38. 10
  39. 729
  40. 4096

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