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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 226 · 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.Write 7⁸ × 7⁸ as a single power 7ⁿ. What is n?
  3. 3.Write (4⁸)⁷ as a single power 4ⁿ. What is n?
  4. 4.What is the value of 2⁶ × 2⁻⁶? =
  5. 5.What is the value of 10¹ × 10⁻²? =
  6. 6.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  7. 7.Write (3⁵)² as a single power 3ⁿ. What is n?
  8. 8.Write 5⁹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 4⁵? =
  10. 10.What is the value of 2¹ × 2⁻¹? =
  11. 11.What is the value of 2⁻⁷ (as a fraction)? =
  12. 12.What is the value of 2⁻⁹ (as a fraction)? =
  13. 13.What is the value of (5/6)⁻²? =
  14. 14.Write 6.2 × 10⁻⁴ as a decimal. =
  15. 15.Write 9⁹ ÷ 9³ as a single power 9ⁿ. What is n?
  16. 16.Write 9¹⁴ ÷ 9⁹ as a single power 9ⁿ. What is n?
  17. 17.Write 5.3 × 10⁻¹ as a decimal. =
  18. 18.Write 7,200 in standard form as 7.2 × 10ⁿ. What is n?
  19. 19.9.7 × 10⁵ =
  20. 20.Write 59,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  21. 21.Write 9.7 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 3⁴ × 3⁻⁵? =
  23. 23.Write 3.1 × 10⁻² as a decimal. =
  24. 24.What is the value of 9⁻² (as a fraction)? =
  25. 25.What is the value of 9⁵? =
  26. 26.Write (9⁶)⁹ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 3⁵? =
  28. 28.Write 6.4 × 10⁻⁴ as a decimal. =
  29. 29.Write 7,80,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  30. 30.Write 3.6 × 10⁻² as a decimal. =
  31. 31.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  32. 32.Write (7³)⁷ as a single power 7ⁿ. What is n?
  33. 33.What is the value of 5⁻⁴ (as a fraction)? =
  34. 34.Write 5.1 × 10⁻² as a decimal. =
  35. 35.Write 4.7 × 10⁻³ as a decimal. =
  36. 36.1.3 × 10² =
  37. 37.What is the value of 7²? =
  38. 38.Write 2.6 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of (5/8)⁻¹? =
  40. 40.Write 2.6 × 10⁻¹ as a decimal. =

Answer key

  1. 1296
  2. 16
  3. 56
  4. 1
  5. 1/10
  6. 4
  7. 10
  8. 4
  9. 1024
  10. 1
  11. 1/128
  12. 1/512
  13. 36/25
  14. 0.00062
  15. 6
  16. 5
  17. 0.53
  18. 3
  19. 970000
  20. 6
  21. 0.97
  22. 1/3
  23. 0.031
  24. 1/81
  25. 59049
  26. 54
  27. 243
  28. 0.00064
  29. 7
  30. 0.036
  31. 17
  32. 21
  33. 1/625
  34. 0.051
  35. 0.0047
  36. 130
  37. 49
  38. 0.00026
  39. 8/5
  40. 0.26

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