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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 521 · 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 (4⁶)³ as a single power 4ⁿ. What is n?
  2. 2.Write 3⁶ × 3⁴ as a single power 3ⁿ. What is n?
  3. 3.Write 7.3 × 10⁻¹ as a decimal. =
  4. 4.What is the value of (8/9)⁻²? =
  5. 5.What is the value of 2¹⁰? =
  6. 6.Write 57,000 in standard form as 5.7 × 10ⁿ. What is n?
  7. 7.Write (5⁴)⁵ as a single power 5ⁿ. What is n?
  8. 8.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  9. 9.What is the value of (1/4)⁻²? =
  10. 10.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  11. 11.Write 2 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 9³? =
  13. 13.What is the value of 10⁻³ (as a fraction)? =
  14. 14.What is the value of 5⁶ × 5⁻³? =
  15. 15.What is the value of 8⁻³ (as a fraction)? =
  16. 16.What is the value of 2⁵ × 2⁻¹? =
  17. 17.What is the value of 2³? =
  18. 18.Write 3⁷ ÷ 3² as a single power 3ⁿ. What is n?
  19. 19.What is the value of 2¹³? =
  20. 20.What is the value of 2²? =
  21. 21.4.2 × 10² =
  22. 22.Write 9¹⁵ ÷ 9⁶ as a single power 9ⁿ. What is n?
  23. 23.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  24. 24.Write 4 × 10⁻⁴ as a decimal. =
  25. 25.Write 9.5 × 10⁻² as a decimal. =
  26. 26.What is the value of 3³ × 3⁻¹? =
  27. 27.What is the value of 5³ × 5⁻⁵? =
  28. 28.What is the value of 9⁻¹ (as a fraction)? =
  29. 29.Write 92,000 in standard form as 9.2 × 10ⁿ. What is n?
  30. 30.What is the value of (1/4)⁻¹? =
  31. 31.Write 7.6 × 10⁻¹ as a decimal. =
  32. 32.Write 2.9 × 10⁻² as a decimal. =
  33. 33.Write 4.9 × 10⁻² as a decimal. =
  34. 34.6.5 × 10⁴ =
  35. 35.What is the value of 3¹⁰? =
  36. 36.What is the value of 10² × 10⁻⁶? =
  37. 37.What is the value of 9⁵? =
  38. 38.Write 8.1 × 10⁻¹ as a decimal. =
  39. 39.Write 1.3 × 10⁻⁴ as a decimal. =
  40. 40.5.9 × 10⁶ =

Answer key

  1. 18
  2. 10
  3. 0.73
  4. 81/64
  5. 1024
  6. 4
  7. 20
  8. 7
  9. 16
  10. 6
  11. 0.2
  12. 729
  13. 1/1000
  14. 125
  15. 1/512
  16. 16
  17. 8
  18. 5
  19. 8192
  20. 4
  21. 420
  22. 9
  23. 2
  24. 0.0004
  25. 0.095
  26. 9
  27. 1/25
  28. 1/9
  29. 4
  30. 4
  31. 0.76
  32. 0.029
  33. 0.049
  34. 65000
  35. 59049
  36. 1/10000
  37. 59049
  38. 0.81
  39. 0.00013
  40. 5900000

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