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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 958 · 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 9³ × 9⁹ as a single power 9ⁿ. What is n?
  2. 2.Write 6,00,00,000 in standard form as 6 × 10ⁿ. What is n?
  3. 3.What is the value of 5⁵? =
  4. 4.What is the value of 7³? =
  5. 5.What is the value of 2⁵? =
  6. 6.What is the value of 2¹⁵? =
  7. 7.Write 7⁹ ÷ 7³ as a single power 7ⁿ. What is n?
  8. 8.What is the value of 2¹⁰? =
  9. 9.7.6 × 10⁶ =
  10. 10.Write 3.6 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 9⁴? =
  12. 12.What is the value of 4⁻² (as a fraction)? =
  13. 13.Write 4.9 × 10⁻⁴ as a decimal. =
  14. 14.Write 5,300 in standard form as 5.3 × 10ⁿ. What is n?
  15. 15.Write 6⁶ × 6² as a single power 6ⁿ. What is n?
  16. 16.What is the value of 4⁷? =
  17. 17.5.1 × 10⁵ =
  18. 18.Write 7⁸ ÷ 7³ as a single power 7ⁿ. What is n?
  19. 19.9.9 × 10³ =
  20. 20.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  21. 21.Write 2¹⁰ ÷ 2⁵ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 3⁵ × 3⁻³? =
  23. 23.Write (6⁸)² as a single power 6ⁿ. What is n?
  24. 24.What is the value of 2³ × 2⁻⁶? =
  25. 25.Write 9⁴ × 9⁵ as a single power 9ⁿ. What is n?
  26. 26.What is the value of 6⁵? =
  27. 27.Write (3⁷)⁸ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 7⁵? =
  29. 29.What is the value of 5⁷? =
  30. 30.Write 3.1 × 10⁻³ as a decimal. =
  31. 31.Write 4⁸ × 4³ as a single power 4ⁿ. What is n?
  32. 32.What is the value of 8⁵? =
  33. 33.6.7 × 10² =
  34. 34.Write 2³ × 2⁷ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 3¹ × 3⁻⁵? =
  36. 36.Write 7¹⁰ ÷ 7⁴ as a single power 7ⁿ. What is n?
  37. 37.Write 4⁴ × 4⁴ as a single power 4ⁿ. What is n?
  38. 38.Write 2⁹ × 2⁷ as a single power 2ⁿ. What is n?
  39. 39.Write 9,900 in standard form as 9.9 × 10ⁿ. What is n?
  40. 40.What is the value of 9⁵? =

Answer key

  1. 12
  2. 7
  3. 3125
  4. 343
  5. 32
  6. 32768
  7. 6
  8. 1024
  9. 7600000
  10. 0.00036
  11. 6561
  12. 1/16
  13. 0.00049
  14. 3
  15. 8
  16. 16384
  17. 510000
  18. 5
  19. 9900
  20. 3
  21. 5
  22. 9
  23. 16
  24. 1/8
  25. 9
  26. 7776
  27. 56
  28. 16807
  29. 78125
  30. 0.0031
  31. 11
  32. 32768
  33. 670
  34. 10
  35. 1/81
  36. 6
  37. 8
  38. 16
  39. 3
  40. 59049

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