$\frac{dy}{dx}=\left(1+2x\right)\cdot y^{\frac{1}{2}}$

$\int\left(x\left(x+8\right)^5\right)dx$

$-1^3+-2^2-\:-1^2$

$\frac{dy}{dx}\left(4+5x\right)^{\frac{2}{x}}$

$-5\left(6\right)+4\left(3\right)+20$

$\left(m^9\right)^{10}$

$3\left(1\right)^5\left(-1\right)+2\left(1\right)^4\left(-1\right)^2+\left(1\right)^2\left(-1\right)^4-2\left(1\right)^5\left(-1\right)$