Simplify. Assume all variables are positive. t^(3/2)/(t^(5/2) * t^(3/2)) 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. t^(3/2)/(t^(5/2) * t^(3/2))   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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Identify Expression: Identify the expression to simplify. We have the expression t^(3/2) / (t^(5/2) * t^(3/2)).Combine Exponents: Apply the property of exponents to combine the exponents in the denominator. When multiplying with the same base, we add the exponents: t^(a) * t^(b) = t^(a+b). So, t^(5/2) * t^(3/2) = t^(5/2 + 3/2) = t^(8/2) = t^4.Rewrite with Simplified Denominator: Rewrite the expression with the simplified denominator. Now we have t^(3/2) / t^4.Apply Exponent Property for Division: Apply the property of exponents for division with the same base. When dividing with the same base, we subtract the exponents: t^(a) / t^(b) = t^(a-b). So, t^(3/2) / t^4 = t^(3/2 - 4) = t^(3/2 - 8/2) = t^(-5/2).Rewrite Negative Exponent: Since we want the exponent to be positive, we can rewrite t^(-5/2) as 1 / t^(5/2). This is because t^(-a) = 1 / t^(a) for any positive exponent a.

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