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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 635 · 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 2² × 2⁻⁴? =
  2. 2.What is the value of (7/9)⁻²? =
  3. 3.What is the value of 3⁵? =
  4. 4.Write 7.1 × 10⁻¹ as a decimal. =
  5. 5.3.7 × 10⁷ =
  6. 6.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  7. 7.Write 9⁸ ÷ 9⁴ as a single power 9ⁿ. What is n?
  8. 8.Write 5,60,00,000 in standard form as 5.6 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁻⁷ (as a fraction)? =
  10. 10.Write 7.3 × 10⁻⁴ as a decimal. =
  11. 11.Write (5³)² as a single power 5ⁿ. What is n?
  12. 12.What is the value of (5/6)⁻²? =
  13. 13.What is the value of 2¹³? =
  14. 14.What is the value of 3²? =
  15. 15.What is the value of (7/9)⁻¹? =
  16. 16.What is the value of (5/7)⁻¹? =
  17. 17.What is the value of 3⁷? =
  18. 18.What is the value of 10³ × 10⁻³? =
  19. 19.Write 1.4 × 10⁻² as a decimal. =
  20. 20.What is the value of 2⁶ × 2⁻²? =
  21. 21.What is the value of 4⁴? =
  22. 22.Write (9⁶)⁵ as a single power 9ⁿ. What is n?
  23. 23.Write 8.5 × 10⁻² as a decimal. =
  24. 24.5.2 × 10³ =
  25. 25.What is the value of (1/4)⁻²? =
  26. 26.Write 7.1 × 10⁻⁴ as a decimal. =
  27. 27.Write 3⁹ × 3³ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 7³? =
  29. 29.What is the value of 9³? =
  30. 30.What is the value of 10⁵? =
  31. 31.Write 9² × 9² as a single power 9ⁿ. What is n?
  32. 32.What is the value of 10¹ × 10⁻⁵? =
  33. 33.What is the value of 4⁶? =
  34. 34.Write 2,500 in standard form as 2.5 × 10ⁿ. What is n?
  35. 35.What is the value of (1/3)⁻²? =
  36. 36.What is the value of (3/8)⁻²? =
  37. 37.What is the value of 5⁵ × 5⁻²? =
  38. 38.What is the value of (1/2)⁻¹? =
  39. 39.What is the value of 9⁵? =
  40. 40.Write 160 in standard form as 1.6 × 10ⁿ. What is n?

Answer key

  1. 1/4
  2. 81/49
  3. 243
  4. 0.71
  5. 37000000
  6. 10
  7. 4
  8. 7
  9. 1/128
  10. 0.00073
  11. 6
  12. 36/25
  13. 8192
  14. 9
  15. 9/7
  16. 7/5
  17. 2187
  18. 1
  19. 0.014
  20. 16
  21. 256
  22. 30
  23. 0.085
  24. 5200
  25. 16
  26. 0.00071
  27. 12
  28. 343
  29. 729
  30. 100000
  31. 4
  32. 1/10000
  33. 4096
  34. 3
  35. 9
  36. 64/9
  37. 125
  38. 2
  39. 59049
  40. 2

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