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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 359 · 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 8.3 × 10⁻¹ as a decimal. =
  2. 2.Write (5⁸)⁷ as a single power 5ⁿ. What is n?
  3. 3.Write 8,700 in standard form as 8.7 × 10ⁿ. What is n?
  4. 4.Write 4.7 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 8⁻³ (as a fraction)? =
  6. 6.Write 9.5 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 2³ × 2⁻²? =
  8. 8.What is the value of 10⁴ × 10⁻⁵? =
  9. 9.What is the value of (5/6)⁻²? =
  10. 10.What is the value of 2³? =
  11. 11.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  12. 12.What is the value of 10²? =
  13. 13.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  14. 14.4.4 × 10⁷ =
  15. 15.Write 7³ × 7⁴ as a single power 7ⁿ. What is n?
  16. 16.What is the value of 2⁴ × 2⁻²? =
  17. 17.Write 2¹² ÷ 2⁵ as a single power 2ⁿ. What is n?
  18. 18.Write 9.4 × 10⁻² as a decimal. =
  19. 19.1.3 × 10⁷ =
  20. 20.What is the value of 2⁻³ (as a fraction)? =
  21. 21.What is the value of 7⁵? =
  22. 22.Write (4⁷)⁶ as a single power 4ⁿ. What is n?
  23. 23.Write 9,00,000 in standard form as 9 × 10ⁿ. What is n?
  24. 24.What is the value of 2⁴? =
  25. 25.Write 6.5 × 10⁻² as a decimal. =
  26. 26.1.1 × 10⁶ =
  27. 27.What is the value of (5/9)⁻²? =
  28. 28.Write (9³)² as a single power 9ⁿ. What is n?
  29. 29.What is the value of 3⁵ × 3⁻⁴? =
  30. 30.Write 7⁷ × 7³ as a single power 7ⁿ. What is n?
  31. 31.Write 910 in standard form as 9.1 × 10ⁿ. What is n?
  32. 32.What is the value of 2¹ × 2⁻⁴? =
  33. 33.What is the value of 6⁶? =
  34. 34.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  35. 35.Write (6⁵)⁹ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 8³? =
  37. 37.Write 6.2 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 2⁸? =
  39. 39.What is the value of 6⁵? =
  40. 40.1.5 × 10⁵ =

Answer key

  1. 0.83
  2. 56
  3. 3
  4. 0.47
  5. 1/512
  6. 0.95
  7. 2
  8. 1/10
  9. 36/25
  10. 8
  11. 10
  12. 100
  13. 2
  14. 44000000
  15. 7
  16. 4
  17. 7
  18. 0.094
  19. 13000000
  20. 1/8
  21. 16807
  22. 42
  23. 5
  24. 16
  25. 0.065
  26. 1100000
  27. 81/25
  28. 6
  29. 3
  30. 10
  31. 2
  32. 1/8
  33. 46656
  34. 2
  35. 45
  36. 512
  37. 0.62
  38. 256
  39. 7776
  40. 150000

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