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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 797 · 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 3⁴ × 3⁻³? =
  2. 2.Write 3⁷ × 3⁵ as a single power 3ⁿ. What is n?
  3. 3.Write (8⁵)⁷ as a single power 8ⁿ. What is n?
  4. 4.Write 7¹⁴ ÷ 7⁶ as a single power 7ⁿ. What is n?
  5. 5.Write 9.6 × 10⁻² as a decimal. =
  6. 6.What is the value of 5⁶ × 5⁻⁵? =
  7. 7.3.2 × 10⁷ =
  8. 8.What is the value of 10²? =
  9. 9.What is the value of (4/9)⁻¹? =
  10. 10.Write 9,500 in standard form as 9.5 × 10ⁿ. What is n?
  11. 11.What is the value of (1/7)⁻²? =
  12. 12.What is the value of 2⁻⁷ (as a fraction)? =
  13. 13.Write (6³)⁵ as a single power 6ⁿ. What is n?
  14. 14.What is the value of (1/8)⁻¹? =
  15. 15.What is the value of (4/9)⁻²? =
  16. 16.Write 910 in standard form as 9.1 × 10ⁿ. What is n?
  17. 17.Write 4.8 × 10⁻³ as a decimal. =
  18. 18.What is the value of 3⁻³ (as a fraction)? =
  19. 19.Write 3.4 × 10⁻⁴ as a decimal. =
  20. 20.6.9 × 10⁴ =
  21. 21.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  22. 22.Write 3.6 × 10⁻¹ as a decimal. =
  23. 23.4.5 × 10⁴ =
  24. 24.Write 4⁷ × 4³ as a single power 4ⁿ. What is n?
  25. 25.What is the value of 2⁻³ (as a fraction)? =
  26. 26.Write 9⁷ × 9⁶ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 3⁶? =
  28. 28.What is the value of (1/4)⁻¹? =
  29. 29.Write 6.8 × 10⁻² as a decimal. =
  30. 30.Write (3⁴)⁹ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 10⁻¹ (as a fraction)? =
  32. 32.Write 6,300 in standard form as 6.3 × 10ⁿ. What is n?
  33. 33.4.4 × 10⁷ =
  34. 34.Write (5⁹)⁷ as a single power 5ⁿ. What is n?
  35. 35.What is the value of 5⁶ × 5⁻¹? =
  36. 36.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
  37. 37.Write (8⁷)⁵ as a single power 8ⁿ. What is n?
  38. 38.Write 5¹⁰ ÷ 5⁶ as a single power 5ⁿ. What is n?
  39. 39.Write 4,20,000 in standard form as 4.2 × 10ⁿ. What is n?
  40. 40.What is the value of 4³? =

Answer key

  1. 3
  2. 12
  3. 35
  4. 8
  5. 0.096
  6. 5
  7. 32000000
  8. 100
  9. 9/4
  10. 3
  11. 49
  12. 1/128
  13. 15
  14. 8
  15. 81/16
  16. 2
  17. 0.0048
  18. 1/27
  19. 0.00034
  20. 69000
  21. 17
  22. 0.36
  23. 45000
  24. 10
  25. 1/8
  26. 13
  27. 729
  28. 4
  29. 0.068
  30. 36
  31. 1/10
  32. 3
  33. 44000000
  34. 63
  35. 3125
  36. 3
  37. 35
  38. 4
  39. 5
  40. 64

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