Simplify. Assume all variables are positive. s^(3/4)/(s^(9/4) * s^(1/4)) 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. s^(3/4)/(s^(9/4) * s^(1/4))   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 operation to be performed. The expression is s^(3/4) / (s^(9/4) * s^(1/4)). We need to simplify this expression by dividing and combining the exponents.Combine Exponents in Denominator: Apply the properties of exponents to combine the exponents in the denominator. Since s^(9/4) * s^(1/4) = s^(9/4 + 1/4), we add the exponents. s^(9/4 + 1/4) = s^(10/4) = s^(5/2). Now the expression is s^(3/4) / s^(5/2).Subtract Exponents: Simplify the expression by subtracting the exponents in the denominator from the exponent in the numerator. When dividing powers with the same base, subtract the exponents: s^(a/b) / s^(c/d) = s^(a/b - c/d). s^(3/4) / s^(5/2) = s^(3/4 - 5/2).Convert to Common Denominator: Convert the exponents to have a common denominator before subtracting. The common denominator for 4 and 2 is 4, so we convert 5/2 to 10/4. s^(3/4 - 10/4) = s^(-7/4).Express Negative Exponent: Since we cannot have negative exponents in the final answer, we express s^(-7/4) as 1/s^(7/4). This is because s^(-a/b) = 1/s^(a/b). So, s^(-7/4) = 1/s^(7/4).Final Expression Check: Check the final expression to ensure it meets the requirements of the question prompt. The final expression is 1/s^(7/4), which is in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents are positive.

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