Step 1 :The problem is asking to simplify the given expression and rewrite it using only positive exponents.
Step 2 :The first step is to simplify the expression inside the parentheses. The negative exponent means that we need to take the reciprocal of the base.
Step 3 :Then, we can apply the power rule, which states that when raising a quotient to a power, we raise both the numerator and the denominator to that power.
Step 4 :After that, we can simplify the expression by canceling out common terms in the numerator and the denominator.
Step 5 :Finally, we can apply the product rule, which states that when multiplying terms with the same base, we add the exponents.
Step 6 :The expression has been simplified to \(8u^{4}z^{14}/x^{9}\). This expression is already written using only positive exponents. Therefore, this is the final answer.
Step 7 :Final Answer: \(\boxed{8u^{4}z^{14}/x^{9}}\)