Simplify. Assume all variables are positive. r^(5/2)/(r^(5/2) * r^(5/2)) 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^(5/2)/(r^(5/2) * r^(5/2))   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. ______

Bytelearn · Accepted Answer

Write Expression: Write down the given expression. We have the expression r^(5/2) / (r^(5/2) * r^(5/2)).Apply Exponent Rule: Apply the exponent rule for multiplication. When multiplying two exponents with the same base, we add the exponents. So, r^(5/2) * r^(5/2) becomes r^(5/2 + 5/2).Add Exponents: Perform the addition of the exponents. r^(5/2 + 5/2) = r^(10/2) = r^5.Rewrite with Simplified Denominator: Rewrite the original expression with the simplified denominator. Now we have r^(5/2) / r^5.Apply Division Rule: Apply the exponent rule for division. When dividing two exponents with the same base, we subtract the exponents. So, r^(5/2) / r^5 becomes r^(5/2 - 5).Convert to Fraction: Convert the exponent in the denominator to a fraction to perform the subtraction. r^5 can be written as r^(10/2) because 5 is equivalent to 10/2. Now we have r^(5/2 - 10/2).Subtract Exponents: Perform the subtraction of the exponents. r^(5/2 - 10/2) = r^(-5/2).Convert to Positive Exponent: Since we want positive exponents in the answer, we can write r^(-5/2) as 1/r^(5/2).Final Simplified Expression: The final simplified expression is 1/r^(5/2).

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