Simplify. Assume all variables are positive. r^(3/4)/(r^(9/4) * r^(3/4)) 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^(3/4)/(r^(9/4) * r^(3/4))   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 Properties: Write down the expression and identify the properties to use. We have the expression r^(3/4) / (r^(9/4) * r^(3/4)). We will use the properties of exponents to simplify this expression.Combine Exponents: Combine the exponents in the denominator using the product of powers property. The product of powers property states that a^m * a^n = a^(m+n) when the bases are the same. So, we combine the exponents in the denominator: r^(9/4) * r^(3/4) = r^(9/4 + 3/4) = r^(12/4) = r^3.Rewrite Expression: Rewrite the original expression with the simplified denominator. Now we have r^(3/4) / r^3.Simplify Using Quotient of Powers: Simplify the expression using the quotient of powers property. The quotient of powers property states that a^m / a^n = a^(m-n) when the bases are the same. So, we subtract the exponents: r^(3/4) / r^3 = r^(3/4 - 3) = r^(3/4 - 12/4) = r^(-9/4).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: r^(-9/4) = 1 / r^(9/4).

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