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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 815 · 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.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  2. 2.What is the value of 10³ × 10⁻⁴? =
  3. 3.Write 2,00,00,000 in standard form as 2 × 10ⁿ. What is n?
  4. 4.What is the value of 2⁷? =
  5. 5.Write 9 × 10⁻² as a decimal. =
  6. 6.What is the value of 4⁴? =
  7. 7.What is the value of (7/9)⁻¹? =
  8. 8.Write 4,000 in standard form as 4 × 10ⁿ. What is n?
  9. 9.What is the value of 2¹³? =
  10. 10.What is the value of 10⁶ × 10⁻⁴? =
  11. 11.What is the value of 5¹ × 5⁻³? =
  12. 12.Write 2.8 × 10⁻³ as a decimal. =
  13. 13.What is the value of 2⁵ × 2⁻⁴? =
  14. 14.Write 4.9 × 10⁻³ as a decimal. =
  15. 15.6.9 × 10⁵ =
  16. 16.What is the value of 6⁴? =
  17. 17.What is the value of 10² × 10⁻²? =
  18. 18.What is the value of 10³ × 10⁻⁶? =
  19. 19.Write 5¹¹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  20. 20.What is the value of (7/8)⁻²? =
  21. 21.9.8 × 10² =
  22. 22.Write 5⁵ × 5⁶ as a single power 5ⁿ. What is n?
  23. 23.2 × 10³ =
  24. 24.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  25. 25.Write 2 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 2⁻⁷ (as a fraction)? =
  27. 27.What is the value of 3³ × 3⁻⁶? =
  28. 28.1.9 × 10⁷ =
  29. 29.Write 4.1 × 10⁻¹ as a decimal. =
  30. 30.What is the value of (4/7)⁻²? =
  31. 31.What is the value of 5⁴ × 5⁻¹? =
  32. 32.What is the value of 3⁵? =
  33. 33.Write 8.6 × 10⁻⁴ as a decimal. =
  34. 34.Write 63,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  35. 35.What is the value of 3⁶? =
  36. 36.What is the value of 2⁵ × 2⁻³? =
  37. 37.2.5 × 10⁴ =
  38. 38.What is the value of 2⁻¹ (as a fraction)? =
  39. 39.What is the value of (2/5)⁻²? =
  40. 40.Write 5,300 in standard form as 5.3 × 10ⁿ. What is n?

Answer key

  1. 2
  2. 1/10
  3. 7
  4. 128
  5. 0.09
  6. 256
  7. 9/7
  8. 3
  9. 8192
  10. 100
  11. 1/25
  12. 0.0028
  13. 2
  14. 0.0049
  15. 690000
  16. 1296
  17. 1
  18. 1/1000
  19. 6
  20. 64/49
  21. 980
  22. 11
  23. 2000
  24. 7
  25. 0.0002
  26. 1/128
  27. 1/27
  28. 19000000
  29. 0.41
  30. 49/16
  31. 125
  32. 243
  33. 0.00086
  34. 6
  35. 729
  36. 4
  37. 25000
  38. 1/2
  39. 25/4
  40. 3

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