Simplify. Assume all variables are positive. r^(7/4)/(r^(7/4) * r^(7/4)) 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. r^(7/4)/(r^(7/4) * r^(7/4))   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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Write Quotient Rule: Write down the expression and apply the quotient rule for exponents. The quotient rule states that when dividing like bases, you subtract the exponents. r^(7/4) / (r^(7/4) * r^(7/4))Apply Product Rule: Apply the product rule for exponents to the denominator. The product rule states that when multiplying like bases, you add the exponents. r^(7/4) / r^(7/4 + 7/4)Simplify Denominator: Simplify the exponent in the denominator. 7/4 + 7/4 = 14/4 r^(7/4) / r^(14/4)Convert Exponent: Convert the exponent in the denominator to a simplified form. 14/4 can be simplified to 3.5 or 7/2. r^(7/4) / r^(7/2)Subtract Exponents: Subtract the exponents using the quotient rule. (7/4) - (7/2) = (7/4) - (14/4) = -7/4 r^(-7/4)Use Negative Exponents: Since we want the exponent to be positive, we can rewrite the expression using the property of negative exponents. A negative exponent means that the base is on the wrong side of the fraction line, so we flip the base to the other side. r^(-7/4) = 1 / r^(7/4)Final Answer: Write the final answer in the form A or A/B as requested. The final answer is in the form of 1 / B, where B is r^(7/4). 1 / r^(7/4)

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