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Worksheet

Laws of Exponents

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Show your work for each problem.

  1. 1.
    Simplify
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    Simplify . Write your answer as where is the exponent.
  3. 3.
    What is the value of ?
    1. a)Undefined
    2. b)
    3. c)
    4. d)
  4. 4.
    Simplify using the power rule.
  5. 5.
    Write as a fraction.
  6. 6.
    Which expression equals ?
    1. a)
    2. b)
    3. c)
    4. d)
  7. 7.
    Simplify
  8. 8.
    Simplify . Calculate the final value.
  9. 9.
    Simplify using the quotient rule.
  10. 10.
    Simplify
    1. a)
    2. b)
    3. c)
    4. d)
  11. 11.
    Simplify
  12. 12.
    Simplify . Give the numerical answer.
  13. 13.
    Which expression is equivalent to ?
    1. a)
    2. b)
    3. c)
    4. d)
  14. 14.
    Simplify
  15. 15.
    If and , what is ?
  16. 16.
    Evaluate
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/arithmetic/exponents/laws-of-exponents