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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 897 · 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 7⁸ × 7⁷ as a single power 7ⁿ. What is n?
  2. 2.Write (2³)⁴ as a single power 2ⁿ. What is n?
  3. 3.6.2 × 10⁶ =
  4. 4.What is the value of 3¹ × 3⁻³? =
  5. 5.What is the value of 2¹³? =
  6. 6.What is the value of 5⁻³ (as a fraction)? =
  7. 7.Write 2⁹ × 2⁶ as a single power 2ⁿ. What is n?
  8. 8.What is the value of 2¹⁴? =
  9. 9.What is the value of 5⁵? =
  10. 10.What is the value of 10²? =
  11. 11.1.1 × 10⁷ =
  12. 12.Write 8² × 8⁶ as a single power 8ⁿ. What is n?
  13. 13.What is the value of 7⁻² (as a fraction)? =
  14. 14.Write 6.6 × 10⁻² as a decimal. =
  15. 15.What is the value of 3⁴ × 3⁻⁴? =
  16. 16.What is the value of (7/9)⁻¹? =
  17. 17.Write 3¹¹ ÷ 3⁹ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 2¹²? =
  19. 19.What is the value of 3⁻⁶ (as a fraction)? =
  20. 20.What is the value of 5⁻¹ (as a fraction)? =
  21. 21.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  22. 22.Write 8.1 × 10⁻² as a decimal. =
  23. 23.Write 4.1 × 10⁻³ as a decimal. =
  24. 24.What is the value of 8⁴? =
  25. 25.Write 4.4 × 10⁻⁴ as a decimal. =
  26. 26.Write 3.3 × 10⁻¹ as a decimal. =
  27. 27.Write 39,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  28. 28.6.8 × 10⁴ =
  29. 29.Write 7⁸ ÷ 7³ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 5⁷? =
  31. 31.Write 3,30,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  32. 32.Write 6.2 × 10⁻² as a decimal. =
  33. 33.Write (9³)⁸ as a single power 9ⁿ. What is n?
  34. 34.What is the value of 10⁵ × 10⁻⁵? =
  35. 35.What is the value of 2¹¹? =
  36. 36.Write 4⁵ × 4⁶ as a single power 4ⁿ. What is n?
  37. 37.What is the value of (1/6)⁻¹? =
  38. 38.What is the value of 5⁶? =
  39. 39.What is the value of 3⁻² (as a fraction)? =
  40. 40.What is the value of 2¹ × 2⁻⁶? =

Answer key

  1. 15
  2. 12
  3. 6200000
  4. 1/9
  5. 8192
  6. 1/125
  7. 15
  8. 16384
  9. 3125
  10. 100
  11. 11000000
  12. 8
  13. 1/49
  14. 0.066
  15. 1
  16. 9/7
  17. 2
  18. 4096
  19. 1/729
  20. 1/5
  21. 3
  22. 0.081
  23. 0.0041
  24. 4096
  25. 0.00044
  26. 0.33
  27. 6
  28. 68000
  29. 5
  30. 78125
  31. 7
  32. 0.062
  33. 24
  34. 1
  35. 2048
  36. 11
  37. 6
  38. 15625
  39. 1/9
  40. 1/32

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