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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 431 · 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 4⁴? =
  2. 2.What is the value of 9²? =
  3. 3.What is the value of 2⁻⁶ (as a fraction)? =
  4. 4.Write 9¹⁵ ÷ 9⁹ as a single power 9ⁿ. What is n?
  5. 5.Write (8³)² as a single power 8ⁿ. What is n?
  6. 6.Write 5.8 × 10⁻² as a decimal. =
  7. 7.What is the value of 10⁻² (as a fraction)? =
  8. 8.Write 3.8 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 5⁴ × 5⁻²? =
  10. 10.What is the value of 2⁻⁵ (as a fraction)? =
  11. 11.Write 7.1 × 10⁻² as a decimal. =
  12. 12.What is the value of 2⁴ × 2⁻¹? =
  13. 13.Write 9.1 × 10⁻¹ as a decimal. =
  14. 14.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  15. 15.2.6 × 10⁴ =
  16. 16.Write 2 × 10⁻³ as a decimal. =
  17. 17.Write 4¹⁸ ÷ 4⁹ as a single power 4ⁿ. What is n?
  18. 18.Write (4⁹)² as a single power 4ⁿ. What is n?
  19. 19.What is the value of 2⁶ × 2⁻³? =
  20. 20.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
  21. 21.Write 8.3 × 10⁻² as a decimal. =
  22. 22.What is the value of (5/9)⁻²? =
  23. 23.1.6 × 10⁷ =
  24. 24.What is the value of 7³? =
  25. 25.What is the value of 8⁻¹ (as a fraction)? =
  26. 26.What is the value of 2⁵ × 2⁻²? =
  27. 27.Write 5⁹ × 5⁶ as a single power 5ⁿ. What is n?
  28. 28.What is the value of 5² × 5⁻¹? =
  29. 29.What is the value of 3⁸? =
  30. 30.8.2 × 10² =
  31. 31.Write 2⁹ × 2⁷ as a single power 2ⁿ. What is n?
  32. 32.6.4 × 10⁴ =
  33. 33.What is the value of 2⁷? =
  34. 34.What is the value of 2³ × 2⁻³? =
  35. 35.Write 6,00,00,000 in standard form as 6 × 10ⁿ. What is n?
  36. 36.What is the value of 9⁻² (as a fraction)? =
  37. 37.What is the value of 3¹ × 3⁻⁶? =
  38. 38.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  39. 39.What is the value of 3¹ × 3⁻²? =
  40. 40.Write 4¹⁰ ÷ 4⁸ as a single power 4ⁿ. What is n?

Answer key

  1. 256
  2. 81
  3. 1/64
  4. 6
  5. 6
  6. 0.058
  7. 1/100
  8. 0.38
  9. 25
  10. 1/32
  11. 0.071
  12. 8
  13. 0.91
  14. 12
  15. 26000
  16. 0.002
  17. 9
  18. 18
  19. 8
  20. 4
  21. 0.083
  22. 81/25
  23. 16000000
  24. 343
  25. 1/8
  26. 8
  27. 15
  28. 5
  29. 6561
  30. 820
  31. 16
  32. 64000
  33. 128
  34. 1
  35. 7
  36. 1/81
  37. 1/243
  38. 6
  39. 1/3
  40. 2

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