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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 29 · 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. 1.1.6 × 10³ =
  2. 2.What is the value of 5⁷? =
  3. 3.What is the value of (7/8)⁻²? =
  4. 4.What is the value of 2² × 2⁻²? =
  5. 5.Write 4.1 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2⁹? =
  7. 7.What is the value of 5³? =
  8. 8.3.2 × 10⁴ =
  9. 9.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  10. 10.Write 3⁴ × 3³ as a single power 3ⁿ. What is n?
  11. 11.What is the value of 10⁵? =
  12. 12.What is the value of 10⁴ × 10⁻³? =
  13. 13.What is the value of 3¹ × 3⁻¹? =
  14. 14.Write 9¹⁴ ÷ 9⁸ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 2³? =
  16. 16.What is the value of (8/9)⁻²? =
  17. 17.What is the value of 6⁻¹ (as a fraction)? =
  18. 18.Write 2.1 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 2⁵ × 2⁻⁵? =
  20. 20.Write 5.5 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 10⁴ × 10⁻⁵? =
  22. 22.What is the value of 3⁻² (as a fraction)? =
  23. 23.Write 9,300 in standard form as 9.3 × 10ⁿ. What is n?
  24. 24.What is the value of 5⁴ × 5⁻⁵? =
  25. 25.9.2 × 10⁷ =
  26. 26.Write 6.1 × 10⁻¹ as a decimal. =
  27. 27.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
  28. 28.What is the value of 4⁻³ (as a fraction)? =
  29. 29.What is the value of 5⁴ × 5⁻²? =
  30. 30.4.1 × 10² =
  31. 31.What is the value of 2¹ × 2⁻³? =
  32. 32.Write (9⁴)² as a single power 9ⁿ. What is n?
  33. 33.Write 98,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  34. 34.Write 1,40,00,000 in standard form as 1.4 × 10ⁿ. What is n?
  35. 35.What is the value of 3³ × 3⁻²? =
  36. 36.What is the value of 4³? =
  37. 37.Write 7.4 × 10⁻² as a decimal. =
  38. 38.What is the value of 3¹ × 3⁻³? =
  39. 39.What is the value of 3²? =
  40. 40.What is the value of 2⁶ × 2⁻²? =

Answer key

  1. 1600
  2. 78125
  3. 64/49
  4. 1
  5. 0.00041
  6. 512
  7. 125
  8. 32000
  9. 4
  10. 7
  11. 100000
  12. 10
  13. 1
  14. 6
  15. 8
  16. 81/64
  17. 1/6
  18. 0.21
  19. 1
  20. 0.55
  21. 1/10
  22. 1/9
  23. 3
  24. 1/5
  25. 92000000
  26. 0.61
  27. 9
  28. 1/64
  29. 25
  30. 410
  31. 1/4
  32. 8
  33. 6
  34. 7
  35. 3
  36. 64
  37. 0.074
  38. 1/9
  39. 9
  40. 16

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