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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 520 · 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.What is the value of 9⁵? =
  2. 2.Write 37,000 in standard form as 3.7 × 10ⁿ. What is n?
  3. 3.What is the value of 2¹ × 2⁻¹? =
  4. 4.Write 3¹⁶ ÷ 3⁸ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 2¹⁶? =
  6. 6.Write 4¹⁷ ÷ 4⁸ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 5² × 5⁻¹? =
  8. 8.Write (2⁵)⁷ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 4⁻³ (as a fraction)? =
  10. 10.Write 3.2 × 10⁻³ as a decimal. =
  11. 11.Write (4⁴)⁸ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 2⁹? =
  13. 13.What is the value of 10⁵? =
  14. 14.What is the value of (5/8)⁻¹? =
  15. 15.What is the value of 2¹⁰? =
  16. 16.Write 8¹³ ÷ 8⁴ as a single power 8ⁿ. What is n?
  17. 17.Write 8⁷ × 8⁵ as a single power 8ⁿ. What is n?
  18. 18.Write (2³)⁵ as a single power 2ⁿ. What is n?
  19. 19.Write 7.1 × 10⁻² as a decimal. =
  20. 20.Write 6 × 10⁻² as a decimal. =
  21. 21.What is the value of 7³? =
  22. 22.What is the value of 5⁵? =
  23. 23.Write 6.5 × 10⁻¹ as a decimal. =
  24. 24.Write (4⁶)⁴ as a single power 4ⁿ. What is n?
  25. 25.What is the value of 2⁻⁷ (as a fraction)? =
  26. 26.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  27. 27.What is the value of (1/4)⁻²? =
  28. 28.What is the value of 2¹ × 2⁻⁴? =
  29. 29.8.5 × 10⁷ =
  30. 30.Write 6,30,000 in standard form as 6.3 × 10ⁿ. What is n?
  31. 31.Write 520 in standard form as 5.2 × 10ⁿ. What is n?
  32. 32.What is the value of 3⁵ × 3⁻²? =
  33. 33.3.5 × 10⁴ =
  34. 34.Write 6¹² ÷ 6⁴ as a single power 6ⁿ. What is n?
  35. 35.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  36. 36.Write 7.4 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 5⁴ × 5⁻⁶? =
  38. 38.What is the value of 2⁵ × 2⁻⁶? =
  39. 39.What is the value of 6⁴? =
  40. 40.Write 5⁵ ÷ 5² as a single power 5ⁿ. What is n?

Answer key

  1. 59049
  2. 4
  3. 1
  4. 8
  5. 65536
  6. 9
  7. 5
  8. 35
  9. 1/64
  10. 0.0032
  11. 32
  12. 512
  13. 100000
  14. 8/5
  15. 1024
  16. 9
  17. 12
  18. 15
  19. 0.071
  20. 0.06
  21. 343
  22. 3125
  23. 0.65
  24. 24
  25. 1/128
  26. 2
  27. 16
  28. 1/8
  29. 85000000
  30. 5
  31. 2
  32. 27
  33. 35000
  34. 8
  35. 42
  36. 0.74
  37. 1/25
  38. 1/2
  39. 1296
  40. 3

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