$\frac{9\left(\frac{1}{3}\right)^2}{3}^-\frac{8\left(\frac{1}{2}\right)^2}{2}+3$

$f^2g^4-n^6$

$\frac{5^{\frac{1}{2}}\cdot\:6^{\frac{1}{2}}}{12x^{\frac{1}{2}}}=\frac{\sqrt{5}\sqrt{6}\sqrt{2x}}{12x}$

$2x^5-8x^2+4$

$\int2x^4e^{-3x}dx$

$\frac{dy}{dx}=\left(\left(-5x+y\right)^2-11\right)$

$\int_{-3}^5\left(\frac{5}{\left(x+3\right)^3}\right)dx$