Simplify. Assume all variables are positive. u^(4/3)/(u^(7/3) * u^(4/3)) 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. ______

Question

Simplify.  Assume all variables are positive. u^(4/3)/(u^(7/3) * u^(4/3))   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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Apply Quotient Rule: Write down the expression and apply the quotient rule for exponents. The quotient rule states that when dividing like bases with exponents, you subtract the exponents: a^m / a^n = a^(m-n). u^(4/3) / (u^(7/3) * u^(4/3)) = u^(4/3) / u^(7/3 + 4/3)Add Exponents: Add the exponents in the denominator. u^(7/3 + 4/3) = u^(11/3) Now the expression is u^(4/3) / u^(11/3).Subtract Exponents: Subtract the exponents in the denominator from the exponent in the numerator. u^(4/3) / u^(11/3) = u^(4/3 - 11/3) = u^(-7/3)Take Reciprocal: Since we want all exponents to be positive, we can rewrite the expression with a positive exponent by taking the reciprocal of the base. u^(-7/3) = 1 / u^(7/3)Write Final Answer: Write the final answer in the form A or A/B as requested. The final answer is 1 / u^(7/3), which is already in the form A/B where A and B have no variables in common and all exponents are positive.

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