Simplify. Assume all variables are positive. d^(5/4)/(d^(9/4) * d^(5/4)) 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. d^(5/4)/(d^(9/4) * d^(5/4))   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 and Apply Quotient of Powers: Identify the expression and apply the quotient of powers property. The expression is d^(5/4)/(d^(9/4) * d^(5/4)). According to the quotient of powers property, when dividing like bases, we subtract the exponents: a^m / a^n = a^(m-n).Combine Terms Using Product of Powers: Combine the terms in the denominator using the product of powers property. The product of powers property states that when multiplying like bases, we add the exponents: a^m * a^n = a^(m+n). So, d^(9/4) * d^(5/4) = d^(9/4 + 5/4) = d^(14/4).Apply Quotient of Powers to Numerator and Denominator: Apply the quotient of powers property to the numerator and the combined denominator. Now we have d^(5/4) / d^(14/4). Using the quotient of powers property, we subtract the exponents: 5/4 - 14/4 = -9/4. So, d^(5/4) / d^(14/4) = d^(-9/4).Rewrite with Positive Exponent: Since we want the exponent to be positive, we can rewrite the expression with a positive exponent by taking the reciprocal of the base. d^(-9/4) is equivalent to 1/d^(9/4).Write Final Answer: Write the final answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common, and all exponents are positive. The final answer is 1/d^(9/4), which is already in the correct form.

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