Rewrite the expression using only positive integer expon \( \left(m^{\frac{2}{3}} n^{-\frac{1}{3}}\right)^{6} \) A. \( \frac{m^{4}}{n^{2}} \) B. \( \frac{m^{9}}{n^{18}} \) C. \( \frac{n^{2}}{m^{4}} \) D. \( \frac{n^{18}}{m^{9}} \)

First, let's simplify the expression step by step. We start with \[ \left(m^{\frac{2}{3}} n^{-\frac{1}{3}}\right)^{6}. \] Using the power of a product property, we distribute the exponent \(6\) to both terms: \[ = m^{\frac{2}{3} \cdot 6} \cdot n^{-\frac{1}{3} \cdot 6} = m^{4} \cdot n^{-2}. \] To express this with only positive exponents, we rewrite \(n^{-2}\) as \(\frac{1}{n^{2}}\): \[ m^{4} \cdot n^{-2} = \frac{m^{4}}{n^{2}}. \] So the answer is: A. \( \frac{m^{4}}{n^{2}} \)