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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 978 · 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 2⁵ × 2⁻³? =
  2. 2.What is the value of 4⁴? =
  3. 3.What is the value of 4⁻⁴ (as a fraction)? =
  4. 4.Write 2⁸ × 2³ as a single power 2ⁿ. What is n?
  5. 5.Write (9⁵)⁴ as a single power 9ⁿ. What is n?
  6. 6.What is the value of 5⁻³ (as a fraction)? =
  7. 7.Write 4 × 10⁻⁴ as a decimal. =
  8. 8.Write 9⁷ ÷ 9³ as a single power 9ⁿ. What is n?
  9. 9.What is the value of 5⁵ × 5⁻⁶? =
  10. 10.What is the value of 6²? =
  11. 11.Write 1.1 × 10⁻² as a decimal. =
  12. 12.Write 7¹³ ÷ 7⁸ as a single power 7ⁿ. What is n?
  13. 13.Write 8.2 × 10⁻⁴ as a decimal. =
  14. 14.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
  15. 15.Write 4.4 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 3¹ × 3⁻³? =
  17. 17.What is the value of 2⁷? =
  18. 18.What is the value of 7²? =
  19. 19.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
  20. 20.What is the value of 2⁸? =
  21. 21.What is the value of (5/8)⁻²? =
  22. 22.What is the value of 5² × 5⁻²? =
  23. 23.What is the value of 10¹ × 10⁻³? =
  24. 24.5.4 × 10⁶ =
  25. 25.Write 9,200 in standard form as 9.2 × 10ⁿ. What is n?
  26. 26.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  27. 27.What is the value of 2⁶? =
  28. 28.Write 4⁸ × 4² as a single power 4ⁿ. What is n?
  29. 29.What is the value of 6⁶? =
  30. 30.Write 2⁴ × 2⁷ as a single power 2ⁿ. What is n?
  31. 31.Write 3 × 10⁻³ as a decimal. =
  32. 32.What is the value of (2/5)⁻²? =
  33. 33.What is the value of 2² × 2⁻²? =
  34. 34.What is the value of 2³ × 2⁻¹? =
  35. 35.Write (2⁵)⁴ as a single power 2ⁿ. What is n?
  36. 36.Write 30,000 in standard form as 3 × 10ⁿ. What is n?
  37. 37.What is the value of 6⁻³ (as a fraction)? =
  38. 38.What is the value of 8⁻¹ (as a fraction)? =
  39. 39.2.6 × 10⁶ =
  40. 40.Write 3.3 × 10⁻⁴ as a decimal. =

Answer key

  1. 4
  2. 256
  3. 1/256
  4. 11
  5. 20
  6. 1/125
  7. 0.0004
  8. 4
  9. 1/5
  10. 36
  11. 0.011
  12. 5
  13. 0.00082
  14. 5
  15. 0.44
  16. 1/9
  17. 128
  18. 49
  19. 17
  20. 256
  21. 64/25
  22. 1
  23. 1/100
  24. 5400000
  25. 3
  26. 4
  27. 64
  28. 10
  29. 46656
  30. 11
  31. 0.003
  32. 25/4
  33. 1
  34. 4
  35. 20
  36. 4
  37. 1/216
  38. 1/8
  39. 2600000
  40. 0.00033

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