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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 62 · 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 9²? =
  2. 2.Write 5,20,000 in standard form as 5.2 × 10ⁿ. What is n?
  3. 3.Write 8³ × 8⁵ as a single power 8ⁿ. What is n?
  4. 4.What is the value of 7³? =
  5. 5.What is the value of 2¹²? =
  6. 6.What is the value of 2⁴ × 2⁻⁵? =
  7. 7.What is the value of 5⁶? =
  8. 8.What is the value of 2⁶ × 2⁻³? =
  9. 9.Write (2²)⁹ as a single power 2ⁿ. What is n?
  10. 10.What is the value of 2¹ × 2⁻²? =
  11. 11.Write 9¹¹ ÷ 9⁵ as a single power 9ⁿ. What is n?
  12. 12.Write 6.9 × 10⁻⁴ as a decimal. =
  13. 13.6.2 × 10³ =
  14. 14.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  15. 15.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  16. 16.Write 1,500 in standard form as 1.5 × 10ⁿ. What is n?
  17. 17.Write 1.6 × 10⁻¹ as a decimal. =
  18. 18.Write 1,80,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  19. 19.8.5 × 10² =
  20. 20.What is the value of 3⁷? =
  21. 21.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  22. 22.Write 6,300 in standard form as 6.3 × 10ⁿ. What is n?
  23. 23.What is the value of 5³ × 5⁻¹? =
  24. 24.What is the value of 3⁵ × 3⁻²? =
  25. 25.2.1 × 10⁴ =
  26. 26.What is the value of 10²? =
  27. 27.5.3 × 10² =
  28. 28.What is the value of 2⁻⁷ (as a fraction)? =
  29. 29.What is the value of 2⁷? =
  30. 30.What is the value of (7/8)⁻¹? =
  31. 31.What is the value of 2³ × 2⁻⁵? =
  32. 32.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  33. 33.Write 7.9 × 10⁻² as a decimal. =
  34. 34.What is the value of 5⁶ × 5⁻³? =
  35. 35.What is the value of 6⁻³ (as a fraction)? =
  36. 36.Write 9.9 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 2²? =
  38. 38.What is the value of 2¹ × 2⁻⁶? =
  39. 39.What is the value of 9⁴? =
  40. 40.Write 8⁹ × 8² as a single power 8ⁿ. What is n?

Answer key

  1. 81
  2. 5
  3. 8
  4. 343
  5. 4096
  6. 1/2
  7. 15625
  8. 8
  9. 18
  10. 1/2
  11. 6
  12. 0.00069
  13. 6200
  14. 6
  15. 5
  16. 3
  17. 0.16
  18. 7
  19. 850
  20. 2187
  21. 8
  22. 3
  23. 25
  24. 27
  25. 21000
  26. 100
  27. 530
  28. 1/128
  29. 128
  30. 8/7
  31. 1/4
  32. 4
  33. 0.079
  34. 125
  35. 1/216
  36. 0.00099
  37. 4
  38. 1/32
  39. 6561
  40. 11

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