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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 381 · 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 5³ × 5⁻⁵? =
  2. 2.What is the value of 7⁵? =
  3. 3.What is the value of 3⁵ × 3⁻³? =
  4. 4.1.5 × 10³ =
  5. 5.3.7 × 10⁷ =
  6. 6.What is the value of (8/9)⁻¹? =
  7. 7.What is the value of 10⁴ × 10⁻⁴? =
  8. 8.What is the value of 3¹⁰? =
  9. 9.What is the value of 5⁴? =
  10. 10.Write (7⁵)⁵ as a single power 7ⁿ. What is n?
  11. 11.Write 8.7 × 10⁻² as a decimal. =
  12. 12.2.9 × 10⁵ =
  13. 13.Write 4,80,000 in standard form as 4.8 × 10ⁿ. What is n?
  14. 14.Write 2 × 10⁻³ as a decimal. =
  15. 15.Write 830 in standard form as 8.3 × 10ⁿ. What is n?
  16. 16.Write (2⁷)⁹ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 3⁻³ (as a fraction)? =
  18. 18.What is the value of 5² × 5⁻³? =
  19. 19.Write 9 × 10⁻¹ as a decimal. =
  20. 20.Write 9³ × 9⁷ as a single power 9ⁿ. What is n?
  21. 21.Write 8⁸ ÷ 8⁶ as a single power 8ⁿ. What is n?
  22. 22.What is the value of (7/9)⁻²? =
  23. 23.What is the value of 9³? =
  24. 24.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  25. 25.What is the value of 2⁻¹ (as a fraction)? =
  26. 26.5.7 × 10⁵ =
  27. 27.What is the value of 5⁻³ (as a fraction)? =
  28. 28.What is the value of 2⁴ × 2⁻²? =
  29. 29.Write 9⁸ ÷ 9⁴ as a single power 9ⁿ. What is n?
  30. 30.Write 5,90,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  31. 31.What is the value of 2⁻⁶ (as a fraction)? =
  32. 32.What is the value of (2/9)⁻¹? =
  33. 33.Write 9.6 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2⁻⁵ (as a fraction)? =
  35. 35.What is the value of 9⁻² (as a fraction)? =
  36. 36.What is the value of (6/7)⁻¹? =
  37. 37.What is the value of (1/3)⁻¹? =
  38. 38.Write 84,000 in standard form as 8.4 × 10ⁿ. What is n?
  39. 39.What is the value of (5/8)⁻¹? =
  40. 40.8.7 × 10⁵ =

Answer key

  1. 1/25
  2. 16807
  3. 9
  4. 1500
  5. 37000000
  6. 9/8
  7. 1
  8. 59049
  9. 625
  10. 25
  11. 0.087
  12. 290000
  13. 5
  14. 0.002
  15. 2
  16. 63
  17. 1/27
  18. 1/5
  19. 0.9
  20. 10
  21. 2
  22. 81/49
  23. 729
  24. 3
  25. 1/2
  26. 570000
  27. 1/125
  28. 4
  29. 4
  30. 7
  31. 1/64
  32. 9/2
  33. 0.96
  34. 1/32
  35. 1/81
  36. 7/6
  37. 3
  38. 4
  39. 8/5
  40. 870000

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