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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 315 · 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 6⁴? =
  2. 2.9.6 × 10² =
  3. 3.Write 3.6 × 10⁻² as a decimal. =
  4. 4.Write (3⁵)⁵ as a single power 3ⁿ. What is n?
  5. 5.Write 8 × 10⁻⁴ as a decimal. =
  6. 6.Write 7.7 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 5⁵ × 5⁻⁵? =
  8. 8.Write 4¹³ ÷ 4⁷ as a single power 4ⁿ. What is n?
  9. 9.Write 6¹⁷ ÷ 6⁹ as a single power 6ⁿ. What is n?
  10. 10.7.6 × 10² =
  11. 11.Write 7¹¹ ÷ 7⁴ as a single power 7ⁿ. What is n?
  12. 12.Write 9.3 × 10⁻⁴ as a decimal. =
  13. 13.Write 9.9 × 10⁻⁴ as a decimal. =
  14. 14.Write 3.5 × 10⁻² as a decimal. =
  15. 15.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  16. 16.What is the value of 6⁵? =
  17. 17.What is the value of 5³ × 5⁻⁵? =
  18. 18.What is the value of 3⁶ × 3⁻⁴? =
  19. 19.What is the value of 2⁷? =
  20. 20.What is the value of (5/9)⁻¹? =
  21. 21.Write 1.9 × 10⁻² as a decimal. =
  22. 22.What is the value of 5⁶? =
  23. 23.3.6 × 10⁴ =
  24. 24.Write 7.9 × 10⁻² as a decimal. =
  25. 25.What is the value of 2² × 2⁻²? =
  26. 26.What is the value of 2⁻⁷ (as a fraction)? =
  27. 27.3.2 × 10⁶ =
  28. 28.What is the value of 2¹⁰? =
  29. 29.4.1 × 10⁶ =
  30. 30.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 10⁻² (as a fraction)? =
  32. 32.Write (6⁸)⁶ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 10⁴ × 10⁻¹? =
  34. 34.What is the value of 2¹ × 2⁻¹? =
  35. 35.Write 7⁴ × 7³ as a single power 7ⁿ. What is n?
  36. 36.What is the value of 3⁶? =
  37. 37.What is the value of 2³? =
  38. 38.Write 5¹⁶ ÷ 5⁹ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 2⁶ × 2⁻¹? =
  40. 40.Write 9⁶ × 9⁸ as a single power 9ⁿ. What is n?

Answer key

  1. 1296
  2. 960
  3. 0.036
  4. 25
  5. 0.0008
  6. 0.00077
  7. 1
  8. 6
  9. 8
  10. 760
  11. 7
  12. 0.00093
  13. 0.00099
  14. 0.035
  15. 5
  16. 7776
  17. 1/25
  18. 9
  19. 128
  20. 9/5
  21. 0.019
  22. 15625
  23. 36000
  24. 0.079
  25. 1
  26. 1/128
  27. 3200000
  28. 1024
  29. 4100000
  30. 8
  31. 1/100
  32. 48
  33. 1000
  34. 1
  35. 7
  36. 729
  37. 8
  38. 7
  39. 32
  40. 14

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