$\left(-a\right)^0$

$\log\frac{x^2y^5}{10}$

$\frac{4x^3-2x^2+1}{4x^3-x}$

$\int\:9xcosx\:dx$

$\lim_{x\to1}\left(\frac{3}{x}\right)^{\frac{1}{x}}$

$-27x^3\left(-x^4\right)$

$\frac{\left(cos^3\left(t\right)-sin^3\left(t\right)\right)}{cos\left(t\right)+sin\left(t\right)}\:=\:1+sin\left(t\right)cos\left(t\right)$