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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 120 · 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 2⁶ × 2⁻²? =
  2. 2.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  3. 3.3.5 × 10⁷ =
  4. 4.What is the value of 4²? =
  5. 5.What is the value of (5/8)⁻¹? =
  6. 6.What is the value of (5/7)⁻¹? =
  7. 7.What is the value of 2¹⁶? =
  8. 8.What is the value of 2² × 2⁻¹? =
  9. 9.Write 2.6 × 10⁻⁴ as a decimal. =
  10. 10.Write 4.1 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 10⁶ × 10⁻⁶? =
  12. 12.Write (6⁷)⁵ as a single power 6ⁿ. What is n?
  13. 13.What is the value of (7/9)⁻¹? =
  14. 14.What is the value of 6⁴? =
  15. 15.What is the value of 6⁶? =
  16. 16.What is the value of 4⁴? =
  17. 17.Write 7¹⁵ ÷ 7⁶ as a single power 7ⁿ. What is n?
  18. 18.What is the value of 2¹²? =
  19. 19.Write 9.9 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 5⁶? =
  21. 21.What is the value of 2⁻¹ (as a fraction)? =
  22. 22.Write 9¹⁴ ÷ 9⁹ as a single power 9ⁿ. What is n?
  23. 23.Write 2⁷ × 2⁴ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 2¹ × 2⁻¹? =
  25. 25.1.2 × 10⁵ =
  26. 26.Write (9⁷)⁷ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 5⁵? =
  28. 28.Write 4.9 × 10⁻¹ as a decimal. =
  29. 29.Write 3.8 × 10⁻¹ as a decimal. =
  30. 30.1.5 × 10⁴ =
  31. 31.What is the value of 2⁴ × 2⁻²? =
  32. 32.What is the value of 5¹ × 5⁻³? =
  33. 33.What is the value of (8/9)⁻¹? =
  34. 34.Write 5.9 × 10⁻⁴ as a decimal. =
  35. 35.Write 1.7 × 10⁻¹ as a decimal. =
  36. 36.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  37. 37.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 5³? =
  39. 39.Write 9.4 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 2⁻³ (as a fraction)? =

Answer key

  1. 16
  2. 9
  3. 35000000
  4. 16
  5. 8/5
  6. 7/5
  7. 65536
  8. 2
  9. 0.00026
  10. 0.41
  11. 1
  12. 35
  13. 9/7
  14. 1296
  15. 46656
  16. 256
  17. 9
  18. 4096
  19. 0.99
  20. 15625
  21. 1/2
  22. 5
  23. 11
  24. 1
  25. 120000
  26. 49
  27. 3125
  28. 0.49
  29. 0.38
  30. 15000
  31. 4
  32. 1/25
  33. 9/8
  34. 0.00059
  35. 0.17
  36. 2
  37. 6
  38. 125
  39. 0.94
  40. 1/8

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