((frac (12)/(5))^2)((5)/(6))

To solve this expression, we need to simplify the numerator and denominator separately, and then divide them.<br /><br />The numerator is $\left(\frac{12}{5}\right)^2$. Squaring a fraction means squaring both the numerator and the denominator. So, $\left(\frac{12}{5}\right)^2 = \frac{12^2}{5^2} = \frac{25}$.<br /><br />The denominator is $\frac{5}{6}$.<br /><br />Now, we need to divide the numerator by the denominator. Dividing fractions is the same as multiplying by the reciprocal of the divisor. The reciprocal of $\frac{5}{6}$ is $\frac{6}{5}$.<br /><br />So, $\frac{\left(\frac{12}{5}\right)^2}{\frac{5}{6}} = \frac{144}{25} \times \frac{6}{5} = \frac{144 \times 6}{25 \times 5} = \frac{864}{125}$.<br /><br />Therefore, the simplified expression is $\frac{864}{125}$.