Simplify. Assume all variables are positive. u^(9/4)/(u^(11/4) * u^(9/4)) 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. u^(9/4)/(u^(11/4) * u^(9/4))   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 Expression: Identify the expression to be simplified. We have the expression u^(9/4) / (u^(11/4) * u^(9/4)). We need to simplify this expression by using the properties of exponents.Combine Exponents: Combine the exponents in the denominator using the product rule for exponents. The product rule states that a^m * a^n = a^(m+n) when the bases are the same. So, we combine the exponents in the denominator: u^(11/4) * u^(9/4) = u^(11/4 + 9/4) = u^(20/4) = u^5.Rewrite Expression: Rewrite the original expression with the simplified denominator. Now that we have simplified the denominator, we rewrite the expression as: u^(9/4) / u^5.Simplify Using Quotient Rule: Simplify the expression using the quotient rule for exponents. The quotient rule states that a^m / a^n = a^(m-n) when the bases are the same. So, we subtract the exponents: u^(9/4) / u^5 = u^(9/4 - 20/4) = u^(-11/4).Make Exponent Positive: Since we want all exponents to be positive, we rewrite the expression with a positive exponent. To make the exponent positive, we take the reciprocal of the base: u^(-11/4) = 1/u^(11/4).

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