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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 863 · 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 7²? =
  2. 2.Write 3,10,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  3. 3.Write 5,800 in standard form as 5.8 × 10ⁿ. What is n?
  4. 4.What is the value of 7³? =
  5. 5.Write 3² × 3² as a single power 3ⁿ. What is n?
  6. 6.What is the value of 2⁴? =
  7. 7.Write 7.2 × 10⁻¹ as a decimal. =
  8. 8.Write 4.2 × 10⁻¹ as a decimal. =
  9. 9.Write 5.5 × 10⁻⁴ as a decimal. =
  10. 10.Write (6³)⁵ as a single power 6ⁿ. What is n?
  11. 11.Write 7⁵ × 7⁶ as a single power 7ⁿ. What is n?
  12. 12.What is the value of (8/9)⁻²? =
  13. 13.What is the value of 2¹⁵? =
  14. 14.Write 4⁵ ÷ 4² as a single power 4ⁿ. What is n?
  15. 15.2.1 × 10⁷ =
  16. 16.Write 2.2 × 10⁻³ as a decimal. =
  17. 17.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  18. 18.Write (2⁷)³ as a single power 2ⁿ. What is n?
  19. 19.2 × 10² =
  20. 20.What is the value of 6⁻¹ (as a fraction)? =
  21. 21.What is the value of (5/8)⁻²? =
  22. 22.What is the value of 3¹ × 3⁻²? =
  23. 23.Write 8¹⁴ ÷ 8⁹ as a single power 8ⁿ. What is n?
  24. 24.What is the value of 2⁻⁸ (as a fraction)? =
  25. 25.What is the value of 2¹¹? =
  26. 26.Write 7¹¹ ÷ 7³ as a single power 7ⁿ. What is n?
  27. 27.What is the value of 3⁵ × 3⁻³? =
  28. 28.Write 9¹¹ ÷ 9⁴ as a single power 9ⁿ. What is n?
  29. 29.What is the value of 5² × 5⁻¹? =
  30. 30.What is the value of 3³ × 3⁻³? =
  31. 31.What is the value of 2¹⁴? =
  32. 32.What is the value of 5³ × 5⁻³? =
  33. 33.What is the value of 8⁴? =
  34. 34.What is the value of 3⁻⁴ (as a fraction)? =
  35. 35.What is the value of (7/9)⁻²? =
  36. 36.What is the value of 2⁸? =
  37. 37.6 × 10⁶ =
  38. 38.What is the value of (3/8)⁻¹? =
  39. 39.Write 18,000 in standard form as 1.8 × 10ⁿ. What is n?
  40. 40.What is the value of (6/7)⁻¹? =

Answer key

  1. 49
  2. 7
  3. 3
  4. 343
  5. 4
  6. 16
  7. 0.72
  8. 0.42
  9. 0.00055
  10. 15
  11. 11
  12. 81/64
  13. 32768
  14. 3
  15. 21000000
  16. 0.0022
  17. 6
  18. 21
  19. 200
  20. 1/6
  21. 64/25
  22. 1/3
  23. 5
  24. 1/256
  25. 2048
  26. 8
  27. 9
  28. 7
  29. 5
  30. 1
  31. 16384
  32. 1
  33. 4096
  34. 1/81
  35. 81/49
  36. 256
  37. 6000000
  38. 8/3
  39. 4
  40. 7/6

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