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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 159 · 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 2⁻⁶ (as a fraction)? =
  2. 2.Write 5⁸ ÷ 5² as a single power 5ⁿ. What is n?
  3. 3.Write 69,00,000 in standard form as 6.9 × 10ⁿ. What is n?
  4. 4.Write 5.6 × 10⁻¹ as a decimal. =
  5. 5.What is the value of (1/3)⁻²? =
  6. 6.Write (7⁶)⁵ as a single power 7ⁿ. What is n?
  7. 7.What is the value of 6⁶? =
  8. 8.Write (6⁸)⁷ as a single power 6ⁿ. What is n?
  9. 9.Write 5.6 × 10⁻² as a decimal. =
  10. 10.What is the value of (1/2)⁻²? =
  11. 11.Write 6 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 2⁶ × 2⁻¹? =
  13. 13.Write (6⁶)⁴ as a single power 6ⁿ. What is n?
  14. 14.Write 23,000 in standard form as 2.3 × 10ⁿ. What is n?
  15. 15.What is the value of 3² × 3⁻²? =
  16. 16.What is the value of 10¹ × 10⁻⁴? =
  17. 17.What is the value of 2⁶ × 2⁻⁵? =
  18. 18.What is the value of 2¹⁵? =
  19. 19.What is the value of 2¹⁰? =
  20. 20.Write 2.2 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 2⁴ × 2⁻²? =
  22. 22.3.5 × 10² =
  23. 23.2 × 10⁷ =
  24. 24.Write (7⁹)² as a single power 7ⁿ. What is n?
  25. 25.What is the value of 9⁻¹ (as a fraction)? =
  26. 26.What is the value of 4⁶? =
  27. 27.Write 3.9 × 10⁻² as a decimal. =
  28. 28.Write 68,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  29. 29.What is the value of 5⁴? =
  30. 30.What is the value of 2⁶ × 2⁻⁴? =
  31. 31.What is the value of 5⁻³ (as a fraction)? =
  32. 32.Write 5.7 × 10⁻⁴ as a decimal. =
  33. 33.Write (7⁶)² as a single power 7ⁿ. What is n?
  34. 34.What is the value of 6²? =
  35. 35.What is the value of 5⁶? =
  36. 36.What is the value of 6³? =
  37. 37.Write 8.2 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 2³? =
  39. 39.What is the value of 2⁻³ (as a fraction)? =
  40. 40.Write 9⁸ × 9⁴ as a single power 9ⁿ. What is n?

Answer key

  1. 1/64
  2. 6
  3. 6
  4. 0.56
  5. 9
  6. 30
  7. 46656
  8. 56
  9. 0.056
  10. 4
  11. 0.6
  12. 32
  13. 24
  14. 4
  15. 1
  16. 1/1000
  17. 2
  18. 32768
  19. 1024
  20. 0.22
  21. 4
  22. 350
  23. 20000000
  24. 18
  25. 1/9
  26. 4096
  27. 0.039
  28. 6
  29. 625
  30. 4
  31. 1/125
  32. 0.00057
  33. 12
  34. 36
  35. 15625
  36. 216
  37. 0.00082
  38. 8
  39. 1/8
  40. 12

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