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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 255 · 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 7⁵? =
  2. 2.What is the value of 2⁷? =
  3. 3.What is the value of 3⁵ × 3⁻³? =
  4. 4.What is the value of (7/9)⁻²? =
  5. 5.What is the value of (5/7)⁻²? =
  6. 6.What is the value of 7²? =
  7. 7.What is the value of (1/7)⁻²? =
  8. 8.What is the value of 10⁶ × 10⁻¹? =
  9. 9.What is the value of 10⁻¹ (as a fraction)? =
  10. 10.Write 2 × 10⁻¹ as a decimal. =
  11. 11.Write 8 × 10⁻¹ as a decimal. =
  12. 12.Write (6⁸)⁵ as a single power 6ⁿ. What is n?
  13. 13.Write 9⁸ × 9⁹ as a single power 9ⁿ. What is n?
  14. 14.What is the value of 4³? =
  15. 15.Write 6.5 × 10⁻³ as a decimal. =
  16. 16.What is the value of (4/7)⁻²? =
  17. 17.What is the value of 2¹⁰? =
  18. 18.Write 5,100 in standard form as 5.1 × 10ⁿ. What is n?
  19. 19.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 7⁻³ (as a fraction)? =
  21. 21.Write 3⁹ ÷ 3³ as a single power 3ⁿ. What is n?
  22. 22.7.2 × 10² =
  23. 23.What is the value of 10² × 10⁻¹? =
  24. 24.What is the value of 3¹ × 3⁻¹? =
  25. 25.What is the value of 9⁵? =
  26. 26.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  27. 27.What is the value of 10⁵ × 10⁻¹? =
  28. 28.What is the value of 2³? =
  29. 29.What is the value of 2⁻⁶ (as a fraction)? =
  30. 30.Write 7¹¹ ÷ 7³ as a single power 7ⁿ. What is n?
  31. 31.Write 9,300 in standard form as 9.3 × 10ⁿ. What is n?
  32. 32.What is the value of 8³? =
  33. 33.5.8 × 10⁶ =
  34. 34.Write 490 in standard form as 4.9 × 10ⁿ. What is n?
  35. 35.What is the value of 10⁶ × 10⁻⁴? =
  36. 36.Write (3⁵)⁸ as a single power 3ⁿ. What is n?
  37. 37.What is the value of 5² × 5⁻²? =
  38. 38.What is the value of 3⁸? =
  39. 39.Write 9.1 × 10⁻⁴ as a decimal. =
  40. 40.7.6 × 10³ =

Answer key

  1. 16807
  2. 128
  3. 9
  4. 81/49
  5. 49/25
  6. 49
  7. 49
  8. 100000
  9. 1/10
  10. 0.2
  11. 0.8
  12. 40
  13. 17
  14. 64
  15. 0.0065
  16. 49/16
  17. 1024
  18. 3
  19. 2
  20. 1/343
  21. 6
  22. 720
  23. 10
  24. 1
  25. 59049
  26. 2
  27. 10000
  28. 8
  29. 1/64
  30. 8
  31. 3
  32. 512
  33. 5800000
  34. 2
  35. 100
  36. 40
  37. 1
  38. 6561
  39. 0.00091
  40. 7600

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