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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 491 · 40 sums
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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 10⁶ × 10⁻²? =
  2. 2.What is the value of 2¹ × 2⁻³? =
  3. 3.Write 4.2 × 10⁻⁴ as a decimal. =
  4. 4.Write 9,30,000 in standard form as 9.3 × 10ⁿ. What is n?
  5. 5.Write 8.6 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 5⁻³ (as a fraction)? =
  7. 7.Write 3 × 10⁻³ as a decimal. =
  8. 8.What is the value of 5⁴ × 5⁻¹? =
  9. 9.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  10. 10.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 3¹ × 3⁻³? =
  12. 12.What is the value of 7⁵? =
  13. 13.What is the value of 3² × 3⁻²? =
  14. 14.What is the value of 10³ × 10⁻¹? =
  15. 15.What is the value of 10⁻¹ (as a fraction)? =
  16. 16.What is the value of 2⁶? =
  17. 17.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  18. 18.What is the value of (3/5)⁻²? =
  19. 19.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  20. 20.Write 9⁹ × 9⁹ as a single power 9ⁿ. What is n?
  21. 21.2.5 × 10³ =
  22. 22.What is the value of 10¹ × 10⁻²? =
  23. 23.Write 2¹⁵ ÷ 2⁸ as a single power 2ⁿ. What is n?
  24. 24.What is the value of (1/6)⁻¹? =
  25. 25.What is the value of 2³ × 2⁻⁶? =
  26. 26.What is the value of 4⁻³ (as a fraction)? =
  27. 27.What is the value of 2³ × 2⁻¹? =
  28. 28.Write 4,40,000 in standard form as 4.4 × 10ⁿ. What is n?
  29. 29.What is the value of 5⁴? =
  30. 30.What is the value of (6/7)⁻¹? =
  31. 31.8.9 × 10⁶ =
  32. 32.What is the value of (2/3)⁻¹? =
  33. 33.Write 7.4 × 10⁻³ as a decimal. =
  34. 34.What is the value of 2⁵? =
  35. 35.What is the value of 5⁶ × 5⁻⁶? =
  36. 36.Write 570 in standard form as 5.7 × 10ⁿ. What is n?
  37. 37.Write 2.8 × 10⁻² as a decimal. =
  38. 38.2.1 × 10² =
  39. 39.What is the value of 8⁻¹ (as a fraction)? =
  40. 40.What is the value of 6³? =

Answer key

  1. 10000
  2. 1/4
  3. 0.00042
  4. 5
  5. 0.86
  6. 1/125
  7. 0.003
  8. 125
  9. 13
  10. 15
  11. 1/9
  12. 16807
  13. 1
  14. 100
  15. 1/10
  16. 64
  17. 5
  18. 25/9
  19. 6
  20. 18
  21. 2500
  22. 1/10
  23. 7
  24. 6
  25. 1/8
  26. 1/64
  27. 4
  28. 5
  29. 625
  30. 7/6
  31. 8900000
  32. 3/2
  33. 0.0074
  34. 32
  35. 1
  36. 2
  37. 0.028
  38. 210
  39. 1/8
  40. 216

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