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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 537 · 40 sums
TalentJR

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 (2⁹)⁵ as a single power 2ⁿ. What is n?
  2. 2.What is the value of (1/5)⁻¹? =
  3. 3.6.1 × 10⁵ =
  4. 4.What is the value of 2⁷? =
  5. 5.Write 8.6 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 10⁵ × 10⁻⁴? =
  7. 7.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  8. 8.Write 1.6 × 10⁻² as a decimal. =
  9. 9.What is the value of 5² × 5⁻¹? =
  10. 10.What is the value of 4⁸? =
  11. 11.What is the value of 5³ × 5⁻⁴? =
  12. 12.What is the value of 6⁶? =
  13. 13.What is the value of 3² × 3⁻⁶? =
  14. 14.What is the value of 9⁴? =
  15. 15.What is the value of 2¹⁵? =
  16. 16.What is the value of 3⁶ × 3⁻⁵? =
  17. 17.What is the value of (1/9)⁻¹? =
  18. 18.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
  19. 19.Write 8⁸ × 8⁵ as a single power 8ⁿ. What is n?
  20. 20.What is the value of 8²? =
  21. 21.What is the value of (1/7)⁻²? =
  22. 22.What is the value of (3/8)⁻²? =
  23. 23.What is the value of (4/5)⁻²? =
  24. 24.What is the value of 3⁶ × 3⁻⁴? =
  25. 25.Write 2¹¹ ÷ 2³ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 10⁵? =
  27. 27.What is the value of 5⁷? =
  28. 28.What is the value of (1/6)⁻¹? =
  29. 29.Write (9⁷)⁴ as a single power 9ⁿ. What is n?
  30. 30.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  31. 31.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  32. 32.What is the value of 9²? =
  33. 33.Write 3¹³ ÷ 3⁵ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 10³? =
  35. 35.Write (7⁴)⁴ as a single power 7ⁿ. What is n?
  36. 36.What is the value of 4³? =
  37. 37.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
  38. 38.4.6 × 10³ =
  39. 39.What is the value of 5⁶ × 5⁻³? =
  40. 40.What is the value of 6⁵? =

Answer key

  1. 45
  2. 5
  3. 610000
  4. 128
  5. 0.86
  6. 10
  7. 2
  8. 0.016
  9. 5
  10. 65536
  11. 1/5
  12. 46656
  13. 1/81
  14. 6561
  15. 32768
  16. 3
  17. 9
  18. 9
  19. 13
  20. 64
  21. 49
  22. 64/9
  23. 25/16
  24. 9
  25. 8
  26. 100000
  27. 78125
  28. 6
  29. 28
  30. 3
  31. 6
  32. 81
  33. 8
  34. 1000
  35. 16
  36. 64
  37. 4
  38. 4600
  39. 125
  40. 7776

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