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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 294 · 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.Write 6 × 10⁻³ as a decimal. =
  2. 2.What is the value of 7⁴? =
  3. 3.Write (9⁶)⁷ as a single power 9ⁿ. What is n?
  4. 4.What is the value of 2⁷? =
  5. 5.Write 7¹⁶ ÷ 7⁷ as a single power 7ⁿ. What is n?
  6. 6.Write 4¹¹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  7. 7.Write (2⁵)³ as a single power 2ⁿ. What is n?
  8. 8.Write 3,10,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  9. 9.What is the value of 2¹⁶? =
  10. 10.What is the value of 2⁴ × 2⁻³? =
  11. 11.What is the value of (2/9)⁻¹? =
  12. 12.Write (6⁴)² as a single power 6ⁿ. What is n?
  13. 13.What is the value of 9⁻³ (as a fraction)? =
  14. 14.What is the value of 3⁶? =
  15. 15.2.3 × 10² =
  16. 16.Write 6¹² ÷ 6³ as a single power 6ⁿ. What is n?
  17. 17.What is the value of 5³? =
  18. 18.3.1 × 10³ =
  19. 19.Write 4.2 × 10⁻⁴ as a decimal. =
  20. 20.1.9 × 10⁵ =
  21. 21.What is the value of 2⁻⁶ (as a fraction)? =
  22. 22.What is the value of 2⁻⁵ (as a fraction)? =
  23. 23.Write 8² × 8⁷ as a single power 8ⁿ. What is n?
  24. 24.What is the value of 7³? =
  25. 25.What is the value of 2¹ × 2⁻⁴? =
  26. 26.What is the value of (1/7)⁻¹? =
  27. 27.What is the value of (3/7)⁻¹? =
  28. 28.What is the value of 2¹²? =
  29. 29.Write 8.2 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 6⁻¹ (as a fraction)? =
  31. 31.What is the value of 2¹⁵? =
  32. 32.What is the value of 2⁶ × 2⁻⁴? =
  33. 33.Write 2.6 × 10⁻³ as a decimal. =
  34. 34.Write 2⁸ × 2⁸ as a single power 2ⁿ. What is n?
  35. 35.Write 9⁵ × 9⁸ as a single power 9ⁿ. What is n?
  36. 36.Write 9¹⁴ ÷ 9⁶ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 6⁴? =
  38. 38.What is the value of (2/3)⁻²? =
  39. 39.What is the value of (5/9)⁻¹? =
  40. 40.Write 4 × 10⁻³ as a decimal. =

Answer key

  1. 0.006
  2. 2401
  3. 42
  4. 128
  5. 9
  6. 5
  7. 15
  8. 7
  9. 65536
  10. 2
  11. 9/2
  12. 8
  13. 1/729
  14. 729
  15. 230
  16. 9
  17. 125
  18. 3100
  19. 0.00042
  20. 190000
  21. 1/64
  22. 1/32
  23. 9
  24. 343
  25. 1/8
  26. 7
  27. 7/3
  28. 4096
  29. 0.82
  30. 1/6
  31. 32768
  32. 4
  33. 0.0026
  34. 16
  35. 13
  36. 8
  37. 1296
  38. 9/4
  39. 9/5
  40. 0.004

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