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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 79 · 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 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
  2. 2.What is the value of 5⁴ × 5⁻⁶? =
  3. 3.What is the value of (3/7)⁻²? =
  4. 4.Write 2¹² ÷ 2⁵ as a single power 2ⁿ. What is n?
  5. 5.Write 2.1 × 10⁻³ as a decimal. =
  6. 6.What is the value of 9⁻¹ (as a fraction)? =
  7. 7.Write 2¹⁰ ÷ 2² as a single power 2ⁿ. What is n?
  8. 8.What is the value of 3²? =
  9. 9.7.3 × 10³ =
  10. 10.What is the value of 2³ × 2⁻²? =
  11. 11.What is the value of 2²? =
  12. 12.What is the value of 4⁴? =
  13. 13.What is the value of (1/3)⁻²? =
  14. 14.Write 8.6 × 10⁻³ as a decimal. =
  15. 15.What is the value of 3⁸? =
  16. 16.Write (7³)² as a single power 7ⁿ. What is n?
  17. 17.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  18. 18.Write 5¹⁴ ÷ 5⁹ as a single power 5ⁿ. What is n?
  19. 19.What is the value of 4⁻¹ (as a fraction)? =
  20. 20.What is the value of (2/5)⁻¹? =
  21. 21.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?
  22. 22.Write 2¹⁵ ÷ 2⁶ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 6³? =
  24. 24.Write 6.5 × 10⁻⁴ as a decimal. =
  25. 25.Write 1.7 × 10⁻² as a decimal. =
  26. 26.Write 4,90,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  27. 27.Write 3.9 × 10⁻³ as a decimal. =
  28. 28.What is the value of 3⁴ × 3⁻⁵? =
  29. 29.What is the value of 7⁵? =
  30. 30.4.9 × 10² =
  31. 31.What is the value of 3⁵ × 3⁻⁴? =
  32. 32.What is the value of 5⁶ × 5⁻³? =
  33. 33.What is the value of (1/6)⁻¹? =
  34. 34.What is the value of 5³ × 5⁻²? =
  35. 35.What is the value of 10⁴? =
  36. 36.Write 1,70,000 in standard form as 1.7 × 10ⁿ. What is n?
  37. 37.What is the value of 4⁷? =
  38. 38.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
  39. 39.Write 9,400 in standard form as 9.4 × 10ⁿ. What is n?
  40. 40.What is the value of 5²? =

Answer key

  1. 14
  2. 1/25
  3. 49/9
  4. 7
  5. 0.0021
  6. 1/9
  7. 8
  8. 9
  9. 7300
  10. 2
  11. 4
  12. 256
  13. 9
  14. 0.0086
  15. 6561
  16. 6
  17. 6
  18. 5
  19. 1/4
  20. 5/2
  21. 3
  22. 9
  23. 216
  24. 0.00065
  25. 0.017
  26. 7
  27. 0.0039
  28. 1/3
  29. 16807
  30. 490
  31. 3
  32. 125
  33. 6
  34. 5
  35. 10000
  36. 5
  37. 16384
  38. 3
  39. 3
  40. 25

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