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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 946 · 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 10⁵ × 10⁻⁶? =
  2. 2.What is the value of 10⁴ × 10⁻⁴? =
  3. 3.Write 7.6 × 10⁻¹ as a decimal. =
  4. 4.Write 6.3 × 10⁻² as a decimal. =
  5. 5.What is the value of 4⁵? =
  6. 6.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  7. 7.What is the value of 3⁶? =
  8. 8.6.3 × 10⁵ =
  9. 9.Write 9⁵ × 9⁷ as a single power 9ⁿ. What is n?
  10. 10.What is the value of 7⁻³ (as a fraction)? =
  11. 11.Write 5.9 × 10⁻³ as a decimal. =
  12. 12.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  13. 13.Write 2.8 × 10⁻² as a decimal. =
  14. 14.What is the value of 2⁷? =
  15. 15.What is the value of (4/9)⁻¹? =
  16. 16.Write (2⁷)³ as a single power 2ⁿ. What is n?
  17. 17.What is the value of (4/5)⁻¹? =
  18. 18.What is the value of 9³? =
  19. 19.What is the value of 10³ × 10⁻³? =
  20. 20.What is the value of 8⁻³ (as a fraction)? =
  21. 21.What is the value of 10⁻¹ (as a fraction)? =
  22. 22.Write 4.6 × 10⁻³ as a decimal. =
  23. 23.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
  24. 24.Write 2.4 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of (1/6)⁻¹? =
  26. 26.3.6 × 10⁷ =
  27. 27.Write 3.7 × 10⁻¹ as a decimal. =
  28. 28.Write 6.3 × 10⁻³ as a decimal. =
  29. 29.Write 2.7 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 6⁻¹ (as a fraction)? =
  31. 31.Write (8³)⁷ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 3⁵ × 3⁻⁶? =
  33. 33.What is the value of 5³ × 5⁻⁴? =
  34. 34.What is the value of 2⁴? =
  35. 35.Write 7 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 4⁻⁴ (as a fraction)? =
  37. 37.Write 7,500 in standard form as 7.5 × 10ⁿ. What is n?
  38. 38.Write 6,00,000 in standard form as 6 × 10ⁿ. What is n?
  39. 39.Write 8³ × 8⁹ as a single power 8ⁿ. What is n?
  40. 40.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?

Answer key

  1. 1/10
  2. 1
  3. 0.76
  4. 0.063
  5. 1024
  6. 7
  7. 729
  8. 630000
  9. 12
  10. 1/343
  11. 0.0059
  12. 6
  13. 0.028
  14. 128
  15. 9/4
  16. 21
  17. 5/4
  18. 729
  19. 1
  20. 1/512
  21. 1/10
  22. 0.0046
  23. 9
  24. 0.00024
  25. 6
  26. 36000000
  27. 0.37
  28. 0.0063
  29. 0.27
  30. 1/6
  31. 21
  32. 1/3
  33. 1/5
  34. 16
  35. 0.7
  36. 1/256
  37. 3
  38. 5
  39. 12
  40. 6

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