$\lim_{x\to5\:}\left(\frac{x}{5}\right)^{\frac{1}{x-5}}$

$\left(\frac{2a^{\frac{2}{3}}}{b^{\frac{1}{2}}}\right)^2\left(\frac{3a^{-\frac{5}{6}}}{b^{\frac{1}{3}}}\right)$

$\frac{\left(3x^2+5x-7\right)}{\left(x^3-2x^2+x-2\right)}$

$\left(x^2-a^2b\right)\left(x^2-ab^2\right)$

$tanx-\frac{3}{4}=0$

$2cos^2x\cdot tanx\:-\:cosx\cdot tanx\:=\:tanx$

$\lim_{x\to\infty}\left(\frac{x^{2}-x}{x+10}\right)$