Question 189
Let $x \in \mathbb{R}$. Compute the value of the expression
$$
\frac{2^{2014} + 2^{2015} - 2^{2016} - 2^{2017}}{(-3)^{2014} - (-3)^{2016}} \cdot \left(\frac{3}{2}\right)^{2013} \cdot \frac{4^{2x+2}}{(-2)^{4x}}
$$
The result should be exact.
$$
\frac{2^{2014} + 2^{2015} - 2^{2016} - 2^{2017}}{(-3)^{2014} - (-3)^{2016}} \cdot \left(\frac{3}{2}\right)^{2013} \cdot \frac{4^{2x+2}}{(-2)^{4x}}
$$
The result should be exact.