Simplify. Assume all variables are positive. c^(3/2)/(c^(5/2) * c^(1/2)) Write your answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. ______

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Simplify.  Assume all variables are positive. c^(3/2)/(c^(5/2) * c^(1/2))   Write your answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. ______

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Identify Given Expression: Identify the given expression and the laws of exponents to be used. The expression is c^(3/2)/(c^(5/2) * c^(1/2)). We will use the laws of exponents which state that when dividing like bases, we subtract the exponents and when multiplying like bases, we add the exponents.Combine Exponents in Denominator: Combine the exponents in the denominator using the law of exponents for multiplication. c^(5/2) * c^(1/2) = c^(5/2 + 1/2) = c^(6/2) = c^3.Divide Exponents: Divide the exponents using the law of exponents for division. c^(3/2) / c^3 = c^(3/2 - 3/1) = c^(3/2 - 6/2) = c^(-3/2).Rewrite Negative Exponent: Since we want the exponent to be positive, we can rewrite c^(-3/2) as 1/c^(3/2).Check Final Answer: Check to ensure the final answer has no variables in common in the numerator and denominator and that all exponents are positive. The final answer is 1/c^(3/2), which meets the requirements.

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