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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 454 · 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 (9⁷)⁶ as a single power 9ⁿ. What is n?
  2. 2.Write 2.6 × 10⁻⁴ as a decimal. =
  3. 3.Write 320 in standard form as 3.2 × 10ⁿ. What is n?
  4. 4.What is the value of 3²? =
  5. 5.Write 7.9 × 10⁻² as a decimal. =
  6. 6.7.6 × 10³ =
  7. 7.What is the value of 5⁴ × 5⁻⁶? =
  8. 8.What is the value of 5² × 5⁻⁶? =
  9. 9.6.8 × 10⁵ =
  10. 10.2.3 × 10⁶ =
  11. 11.Write 9 × 10⁻¹ as a decimal. =
  12. 12.Write 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
  13. 13.Write 1.6 × 10⁻¹ as a decimal. =
  14. 14.Write 6¹⁴ ÷ 6⁹ as a single power 6ⁿ. What is n?
  15. 15.What is the value of (3/5)⁻¹? =
  16. 16.What is the value of 2¹⁶? =
  17. 17.Write 8.8 × 10⁻³ as a decimal. =
  18. 18.What is the value of 2¹³? =
  19. 19.Write 8.6 × 10⁻¹ as a decimal. =
  20. 20.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  21. 21.What is the value of (3/7)⁻²? =
  22. 22.6.4 × 10⁷ =
  23. 23.Write (7⁹)⁷ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 9³? =
  25. 25.Write 2.3 × 10⁻³ as a decimal. =
  26. 26.What is the value of (3/4)⁻²? =
  27. 27.What is the value of 2² × 2⁻¹? =
  28. 28.What is the value of 3³ × 3⁻¹? =
  29. 29.What is the value of 10²? =
  30. 30.What is the value of 5³ × 5⁻⁴? =
  31. 31.What is the value of 6²? =
  32. 32.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  33. 33.What is the value of 6⁴? =
  34. 34.Write 2¹⁴ ÷ 2⁷ as a single power 2ⁿ. What is n?
  35. 35.9.4 × 10⁴ =
  36. 36.4.3 × 10⁶ =
  37. 37.Write 4 × 10⁻² as a decimal. =
  38. 38.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  39. 39.Write 7.1 × 10⁻⁴ as a decimal. =
  40. 40.Write 540 in standard form as 5.4 × 10ⁿ. What is n?

Answer key

  1. 42
  2. 0.00026
  3. 2
  4. 9
  5. 0.079
  6. 7600
  7. 1/25
  8. 1/625
  9. 680000
  10. 2300000
  11. 0.9
  12. 9
  13. 0.16
  14. 5
  15. 5/3
  16. 65536
  17. 0.0088
  18. 8192
  19. 0.86
  20. 4
  21. 49/9
  22. 64000000
  23. 63
  24. 729
  25. 0.0023
  26. 16/9
  27. 2
  28. 9
  29. 100
  30. 1/5
  31. 36
  32. 2
  33. 1296
  34. 7
  35. 94000
  36. 4300000
  37. 0.04
  38. 42
  39. 0.00071
  40. 2

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