$8a^3\:-\:27c^3$

$\int-x+\frac{5}{4}dx$

$\left(\frac{3^{-4}\cdot5^{-1}}{3^{2}\cdot5^{-3}}\right)^{\frac{1}{2}}\left(\frac{3^{4}\cdot5^{3}}{3^{2}\cdot5^{4}}\right)^{-1}$

$\int\cot^5\left(x\right)dx$

$\frac{3x^4+7x^3+11x-11}{x}$

$\frac{\cos\:^4\left(x\right)-\sin\:^4\left(x\right)}{1-\tan\:^4\left(x\right)}=\cos\:^4\left(x\right)$

$2000+2600$