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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 427 · 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. 2.2.9 × 10³ =
  3. 3.What is the value of 3⁻¹ (as a fraction)? =
  4. 4.Write 39,000 in standard form as 3.9 × 10ⁿ. What is n?
  5. 5.9.4 × 10⁵ =
  6. 6.Write 48,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  7. 7.What is the value of 2¹ × 2⁻⁵? =
  8. 8.What is the value of 4⁷? =
  9. 9.Write 1.7 × 10⁻² as a decimal. =
  10. 10.Write (6²)⁸ as a single power 6ⁿ. What is n?
  11. 11.What is the value of 10⁻¹ (as a fraction)? =
  12. 12.What is the value of (5/7)⁻²? =
  13. 13.Write 6⁶ × 6⁴ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 4⁻³ (as a fraction)? =
  15. 15.What is the value of 2⁵? =
  16. 16.Write 9.9 × 10⁻³ as a decimal. =
  17. 17.What is the value of 2² × 2⁻¹? =
  18. 18.What is the value of 10³ × 10⁻⁵? =
  19. 19.What is the value of 10³ × 10⁻²? =
  20. 20.Write 7.6 × 10⁻¹ as a decimal. =
  21. 21.7.5 × 10⁷ =
  22. 22.5.5 × 10⁵ =
  23. 23.What is the value of 2¹³? =
  24. 24.What is the value of 9⁴? =
  25. 25.Write 8.8 × 10⁻² as a decimal. =
  26. 26.What is the value of 3² × 3⁻²? =
  27. 27.What is the value of 8⁻² (as a fraction)? =
  28. 28.Write 3.3 × 10⁻¹ as a decimal. =
  29. 29.Write 1.2 × 10⁻³ as a decimal. =
  30. 30.Write 2¹⁷ ÷ 2⁹ as a single power 2ⁿ. What is n?
  31. 31.Write (8⁵)⁵ as a single power 8ⁿ. What is n?
  32. 32.Write 9⁹ ÷ 9² as a single power 9ⁿ. What is n?
  33. 33.Write (5²)⁴ as a single power 5ⁿ. What is n?
  34. 34.Write (4⁷)⁸ as a single power 4ⁿ. What is n?
  35. 35.Write 5⁸ ÷ 5⁵ as a single power 5ⁿ. What is n?
  36. 36.What is the value of (2/3)⁻²? =
  37. 37.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  38. 38.9.1 × 10⁶ =
  39. 39.Write 7⁴ × 7⁹ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 7³? =

Answer key

  1. 16807
  2. 2900
  3. 1/3
  4. 4
  5. 940000
  6. 6
  7. 1/16
  8. 16384
  9. 0.017
  10. 16
  11. 1/10
  12. 49/25
  13. 10
  14. 1/64
  15. 32
  16. 0.0099
  17. 2
  18. 1/100
  19. 10
  20. 0.76
  21. 75000000
  22. 550000
  23. 8192
  24. 6561
  25. 0.088
  26. 1
  27. 1/64
  28. 0.33
  29. 0.0012
  30. 8
  31. 25
  32. 7
  33. 8
  34. 56
  35. 3
  36. 9/4
  37. 12
  38. 9100000
  39. 13
  40. 343

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