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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 981 · 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 2⁻² (as a fraction)? =
  2. 2.What is the value of 3⁵? =
  3. 3.Write 4.4 × 10⁻¹ as a decimal. =
  4. 4.Write 1.2 × 10⁻¹ as a decimal. =
  5. 5.Write 7.2 × 10⁻¹ as a decimal. =
  6. 6.Write 6² × 6³ as a single power 6ⁿ. What is n?
  7. 7.What is the value of 10² × 10⁻⁵? =
  8. 8.What is the value of 2¹³? =
  9. 9.What is the value of 7⁻¹ (as a fraction)? =
  10. 10.Write (9⁷)³ as a single power 9ⁿ. What is n?
  11. 11.Write 450 in standard form as 4.5 × 10ⁿ. What is n?
  12. 12.Write (3⁶)⁶ as a single power 3ⁿ. What is n?
  13. 13.What is the value of (7/8)⁻²? =
  14. 14.Write 6⁷ × 6³ as a single power 6ⁿ. What is n?
  15. 15.Write 9,200 in standard form as 9.2 × 10ⁿ. What is n?
  16. 16.Write 6.9 × 10⁻⁴ as a decimal. =
  17. 17.6.1 × 10⁴ =
  18. 18.Write 2 × 10⁻⁴ as a decimal. =
  19. 19.Write (5⁶)⁵ as a single power 5ⁿ. What is n?
  20. 20.Write 640 in standard form as 6.4 × 10ⁿ. What is n?
  21. 21.7.8 × 10² =
  22. 22.What is the value of 3⁻³ (as a fraction)? =
  23. 23.What is the value of (1/9)⁻²? =
  24. 24.What is the value of (5/7)⁻²? =
  25. 25.What is the value of 3⁵ × 3⁻⁶? =
  26. 26.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 8³? =
  28. 28.9.9 × 10⁷ =
  29. 29.What is the value of (2/5)⁻²? =
  30. 30.What is the value of 10⁴ × 10⁻⁴? =
  31. 31.What is the value of 6⁻¹ (as a fraction)? =
  32. 32.What is the value of (3/4)⁻²? =
  33. 33.Write 9⁴ × 9⁹ as a single power 9ⁿ. What is n?
  34. 34.What is the value of 2⁻³ (as a fraction)? =
  35. 35.3.9 × 10⁶ =
  36. 36.What is the value of 2⁵? =
  37. 37.1.9 × 10⁷ =
  38. 38.Write (6²)³ as a single power 6ⁿ. What is n?
  39. 39.Write 4⁵ × 4⁷ as a single power 4ⁿ. What is n?
  40. 40.Write 5⁶ ÷ 5⁴ as a single power 5ⁿ. What is n?

Answer key

  1. 1/4
  2. 243
  3. 0.44
  4. 0.12
  5. 0.72
  6. 5
  7. 1/1000
  8. 8192
  9. 1/7
  10. 21
  11. 2
  12. 36
  13. 64/49
  14. 10
  15. 3
  16. 0.00069
  17. 61000
  18. 0.0002
  19. 30
  20. 2
  21. 780
  22. 1/27
  23. 81
  24. 49/25
  25. 1/3
  26. 8
  27. 512
  28. 99000000
  29. 25/4
  30. 1
  31. 1/6
  32. 16/9
  33. 13
  34. 1/8
  35. 3900000
  36. 32
  37. 19000000
  38. 6
  39. 12
  40. 2

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