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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 301 · 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.What is the value of 2¹ × 2⁻²? =
  3. 3.What is the value of (5/6)⁻¹? =
  4. 4.What is the value of 5² × 5⁻²? =
  5. 5.Write 2.1 × 10⁻³ as a decimal. =
  6. 6.Write 50,00,000 in standard form as 5 × 10ⁿ. What is n?
  7. 7.What is the value of 2² × 2⁻¹? =
  8. 8.What is the value of 2⁶ × 2⁻³? =
  9. 9.2.1 × 10⁶ =
  10. 10.What is the value of 10² × 10⁻⁶? =
  11. 11.Write 4.6 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 2⁻⁵ (as a fraction)? =
  13. 13.What is the value of (3/5)⁻²? =
  14. 14.What is the value of 2⁹? =
  15. 15.Write 6³ × 6⁸ as a single power 6ⁿ. What is n?
  16. 16.What is the value of 2³? =
  17. 17.Write 6.3 × 10⁻² as a decimal. =
  18. 18.What is the value of 3⁶ × 3⁻⁶? =
  19. 19.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 9²? =
  21. 21.What is the value of 5⁴? =
  22. 22.What is the value of (7/8)⁻¹? =
  23. 23.What is the value of 6⁻¹ (as a fraction)? =
  24. 24.Write 2.5 × 10⁻³ as a decimal. =
  25. 25.What is the value of 2³ × 2⁻¹? =
  26. 26.What is the value of (5/7)⁻¹? =
  27. 27.What is the value of 6⁶? =
  28. 28.Write 4.1 × 10⁻³ as a decimal. =
  29. 29.Write 4,20,000 in standard form as 4.2 × 10ⁿ. What is n?
  30. 30.2 × 10⁴ =
  31. 31.What is the value of 2² × 2⁻³? =
  32. 32.2.6 × 10² =
  33. 33.What is the value of 7⁻³ (as a fraction)? =
  34. 34.Write (4⁹)⁷ as a single power 4ⁿ. What is n?
  35. 35.Write 44,00,000 in standard form as 4.4 × 10ⁿ. What is n?
  36. 36.What is the value of 5⁶ × 5⁻⁵? =
  37. 37.What is the value of (8/9)⁻¹? =
  38. 38.What is the value of 8⁵? =
  39. 39.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  40. 40.Write 3 × 10⁻¹ as a decimal. =

Answer key

  1. 1/64
  2. 1/2
  3. 6/5
  4. 1
  5. 0.0021
  6. 6
  7. 2
  8. 8
  9. 2100000
  10. 1/10000
  11. 0.46
  12. 1/32
  13. 25/9
  14. 512
  15. 11
  16. 8
  17. 0.063
  18. 1
  19. 9
  20. 81
  21. 625
  22. 8/7
  23. 1/6
  24. 0.0025
  25. 4
  26. 7/5
  27. 46656
  28. 0.0041
  29. 5
  30. 20000
  31. 1/2
  32. 260
  33. 1/343
  34. 63
  35. 6
  36. 5
  37. 9/8
  38. 32768
  39. 6
  40. 0.3

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