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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 953 · 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 5⁻² (as a fraction)? =
  2. 2.Write 5.5 × 10⁻¹ as a decimal. =
  3. 3.2.7 × 10⁶ =
  4. 4.3.1 × 10² =
  5. 5.1.6 × 10² =
  6. 6.What is the value of 9²? =
  7. 7.Write 5,10,00,000 in standard form as 5.1 × 10ⁿ. What is n?
  8. 8.Write (3⁵)⁷ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 10⁴? =
  10. 10.What is the value of 3⁸? =
  11. 11.What is the value of 9⁴? =
  12. 12.What is the value of 10⁴ × 10⁻⁴? =
  13. 13.What is the value of (3/4)⁻¹? =
  14. 14.Write 2⁶ × 2⁷ as a single power 2ⁿ. What is n?
  15. 15.Write 3¹¹ ÷ 3⁹ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 5³ × 5⁻⁶? =
  17. 17.What is the value of 5² × 5⁻⁶? =
  18. 18.What is the value of 7²? =
  19. 19.Write (6⁴)⁷ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 6⁻³ (as a fraction)? =
  21. 21.Write 1.9 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 3² × 3⁻⁴? =
  23. 23.What is the value of 10¹ × 10⁻²? =
  24. 24.What is the value of 3²? =
  25. 25.What is the value of 10⁵? =
  26. 26.Write 3,00,000 in standard form as 3 × 10ⁿ. What is n?
  27. 27.What is the value of 2⁵ × 2⁻⁴? =
  28. 28.Write 7⁹ × 7⁶ as a single power 7ⁿ. What is n?
  29. 29.6.6 × 10⁴ =
  30. 30.What is the value of (4/7)⁻²? =
  31. 31.What is the value of (7/9)⁻¹? =
  32. 32.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  33. 33.1.5 × 10³ =
  34. 34.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
  35. 35.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  36. 36.What is the value of (5/6)⁻²? =
  37. 37.What is the value of 2¹⁵? =
  38. 38.What is the value of 4⁷? =
  39. 39.What is the value of 2⁻⁹ (as a fraction)? =
  40. 40.Write 94,000 in standard form as 9.4 × 10ⁿ. What is n?

Answer key

  1. 1/25
  2. 0.55
  3. 2700000
  4. 310
  5. 160
  6. 81
  7. 7
  8. 35
  9. 10000
  10. 6561
  11. 6561
  12. 1
  13. 4/3
  14. 13
  15. 2
  16. 1/125
  17. 1/625
  18. 49
  19. 28
  20. 1/216
  21. 0.19
  22. 1/9
  23. 1/10
  24. 9
  25. 100000
  26. 5
  27. 2
  28. 15
  29. 66000
  30. 49/16
  31. 9/7
  32. 45
  33. 1500
  34. 5
  35. 6
  36. 36/25
  37. 32768
  38. 16384
  39. 1/512
  40. 4

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