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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 630 · 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 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  2. 2.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  3. 3.What is the value of (5/6)⁻¹? =
  4. 4.Write 2¹⁵ ÷ 2⁶ as a single power 2ⁿ. What is n?
  5. 5.Write 4⁹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  6. 6.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  7. 7.What is the value of 10⁶ × 10⁻²? =
  8. 8.What is the value of (5/7)⁻²? =
  9. 9.Write (5²)⁶ as a single power 5ⁿ. What is n?
  10. 10.Write 3.2 × 10⁻¹ as a decimal. =
  11. 11.Write (4⁸)² as a single power 4ⁿ. What is n?
  12. 12.What is the value of 9⁻¹ (as a fraction)? =
  13. 13.What is the value of (4/5)⁻¹? =
  14. 14.Write 78,000 in standard form as 7.8 × 10ⁿ. What is n?
  15. 15.What is the value of 6⁴? =
  16. 16.What is the value of 6⁻³ (as a fraction)? =
  17. 17.Write 9⁴ × 9⁹ as a single power 9ⁿ. What is n?
  18. 18.Write (7⁸)³ as a single power 7ⁿ. What is n?
  19. 19.Write 2.4 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 2¹³? =
  21. 21.Write (5⁴)⁷ as a single power 5ⁿ. What is n?
  22. 22.Write 8⁷ × 8⁴ as a single power 8ⁿ. What is n?
  23. 23.8.8 × 10⁷ =
  24. 24.Write 9.4 × 10⁻³ as a decimal. =
  25. 25.Write 9⁹ ÷ 9⁷ as a single power 9ⁿ. What is n?
  26. 26.Write 46,00,000 in standard form as 4.6 × 10ⁿ. What is n?
  27. 27.Write 4⁸ ÷ 4⁴ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 9²? =
  29. 29.What is the value of (4/7)⁻²? =
  30. 30.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  31. 31.Write 2⁶ ÷ 2² as a single power 2ⁿ. What is n?
  32. 32.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  33. 33.Write 2.6 × 10⁻⁴ as a decimal. =
  34. 34.Write 9,60,000 in standard form as 9.6 × 10ⁿ. What is n?
  35. 35.What is the value of 4²? =
  36. 36.What is the value of 5² × 5⁻²? =
  37. 37.What is the value of 3⁻⁴ (as a fraction)? =
  38. 38.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  39. 39.Write 4⁶ × 4⁸ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 3² × 3⁻¹? =

Answer key

  1. 3
  2. 3
  3. 6/5
  4. 9
  5. 2
  6. 7
  7. 10000
  8. 49/25
  9. 12
  10. 0.32
  11. 16
  12. 1/9
  13. 5/4
  14. 4
  15. 1296
  16. 1/216
  17. 13
  18. 24
  19. 0.24
  20. 8192
  21. 28
  22. 11
  23. 88000000
  24. 0.0094
  25. 2
  26. 6
  27. 4
  28. 81
  29. 49/16
  30. 42
  31. 4
  32. 12
  33. 0.00026
  34. 5
  35. 16
  36. 1
  37. 1/81
  38. 8
  39. 14
  40. 3

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