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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 249 · 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 2¹²? =
  2. 2.Write 6⁷ × 6⁶ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 6⁴? =
  4. 4.What is the value of (1/6)⁻²? =
  5. 5.What is the value of 8⁵? =
  6. 6.What is the value of 5⁴? =
  7. 7.7.3 × 10⁴ =
  8. 8.What is the value of 5¹ × 5⁻⁶? =
  9. 9.Write 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  10. 10.What is the value of 2²? =
  11. 11.5 × 10⁷ =
  12. 12.Write 2.1 × 10⁻¹ as a decimal. =
  13. 13.Write 6¹⁶ ÷ 6⁹ as a single power 6ⁿ. What is n?
  14. 14.Write 9⁴ × 9⁹ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 6³? =
  16. 16.1.9 × 10⁷ =
  17. 17.What is the value of 2⁻⁸ (as a fraction)? =
  18. 18.Write 5¹⁶ ÷ 5⁸ as a single power 5ⁿ. What is n?
  19. 19.Write 6,70,00,000 in standard form as 6.7 × 10ⁿ. What is n?
  20. 20.What is the value of (4/5)⁻²? =
  21. 21.What is the value of 4⁻⁴ (as a fraction)? =
  22. 22.What is the value of 10⁴ × 10⁻³? =
  23. 23.Write 3.6 × 10⁻² as a decimal. =
  24. 24.What is the value of 3⁻¹ (as a fraction)? =
  25. 25.7.2 × 10⁴ =
  26. 26.What is the value of 2⁹? =
  27. 27.What is the value of 10⁵? =
  28. 28.Write 8⁴ × 8⁸ as a single power 8ⁿ. What is n?
  29. 29.What is the value of 3⁶? =
  30. 30.Write 4.4 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 5¹ × 5⁻³? =
  32. 32.4.3 × 10² =
  33. 33.Write 5.6 × 10⁻² as a decimal. =
  34. 34.What is the value of 2¹ × 2⁻⁶? =
  35. 35.1.1 × 10⁶ =
  36. 36.Write (9⁴)² as a single power 9ⁿ. What is n?
  37. 37.What is the value of 7⁵? =
  38. 38.Write (9⁷)⁷ as a single power 9ⁿ. What is n?
  39. 39.What is the value of 9³? =
  40. 40.Write 9,400 in standard form as 9.4 × 10ⁿ. What is n?

Answer key

  1. 4096
  2. 13
  3. 1296
  4. 36
  5. 32768
  6. 625
  7. 73000
  8. 1/3125
  9. 3
  10. 4
  11. 50000000
  12. 0.21
  13. 7
  14. 13
  15. 216
  16. 19000000
  17. 1/256
  18. 8
  19. 7
  20. 25/16
  21. 1/256
  22. 10
  23. 0.036
  24. 1/3
  25. 72000
  26. 512
  27. 100000
  28. 12
  29. 729
  30. 0.00044
  31. 1/25
  32. 430
  33. 0.056
  34. 1/32
  35. 1100000
  36. 8
  37. 16807
  38. 49
  39. 729
  40. 3

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