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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 75 · 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 (9⁹)⁷ as a single power 9ⁿ. What is n?
  2. 2.Write 4.3 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 2⁻⁷ (as a fraction)? =
  4. 4.What is the value of 2⁷? =
  5. 5.What is the value of 3⁴? =
  6. 6.2.6 × 10⁵ =
  7. 7.Write 6³ × 6³ as a single power 6ⁿ. What is n?
  8. 8.What is the value of 2² × 2⁻¹? =
  9. 9.What is the value of 6³? =
  10. 10.What is the value of 2¹⁴? =
  11. 11.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  12. 12.Write 9,10,000 in standard form as 9.1 × 10ⁿ. What is n?
  13. 13.What is the value of 3¹⁰? =
  14. 14.Write (6²)⁵ as a single power 6ⁿ. What is n?
  15. 15.Write 6,700 in standard form as 6.7 × 10ⁿ. What is n?
  16. 16.What is the value of 6⁴? =
  17. 17.Write (3⁴)³ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 5² × 5⁻⁵? =
  19. 19.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
  20. 20.Write (9²)⁶ as a single power 9ⁿ. What is n?
  21. 21.What is the value of 4²? =
  22. 22.Write 6.6 × 10⁻⁴ as a decimal. =
  23. 23.Write 52,000 in standard form as 5.2 × 10ⁿ. What is n?
  24. 24.What is the value of 8⁻³ (as a fraction)? =
  25. 25.What is the value of 2⁴? =
  26. 26.What is the value of 2⁵ × 2⁻²? =
  27. 27.What is the value of 2² × 2⁻²? =
  28. 28.What is the value of 5⁵ × 5⁻⁵? =
  29. 29.What is the value of (4/7)⁻¹? =
  30. 30.What is the value of 8²? =
  31. 31.9 × 10⁵ =
  32. 32.What is the value of 10⁵? =
  33. 33.Write 8.9 × 10⁻² as a decimal. =
  34. 34.What is the value of (7/8)⁻¹? =
  35. 35.Write 2.9 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 2⁵? =
  37. 37.Write 8⁴ × 8⁹ as a single power 8ⁿ. What is n?
  38. 38.Write 9⁴ × 9⁷ as a single power 9ⁿ. What is n?
  39. 39.Write 4⁵ × 4² as a single power 4ⁿ. What is n?
  40. 40.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?

Answer key

  1. 63
  2. 0.00043
  3. 1/128
  4. 128
  5. 81
  6. 260000
  7. 6
  8. 2
  9. 216
  10. 16384
  11. 6
  12. 5
  13. 59049
  14. 10
  15. 3
  16. 1296
  17. 12
  18. 1/125
  19. 6
  20. 12
  21. 16
  22. 0.00066
  23. 4
  24. 1/512
  25. 16
  26. 8
  27. 1
  28. 1
  29. 7/4
  30. 64
  31. 900000
  32. 100000
  33. 0.089
  34. 8/7
  35. 0.00029
  36. 32
  37. 13
  38. 11
  39. 7
  40. 6

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