Expressions involving exponentials are combined by applying the following transformations:

$\mathrm{combine}\left(\exp \left(x\right)\exp \left(-x\right)\,\exp \right)$

$1$

$\mathrm{combine}\left({\left(\exp \left(5\right)\right)}^2\exp \left(3\right)\,\exp \right)$

${\ⅇ}^{13}$

$\mathrm{combine}\left(\exp \left(x+3\ln \left(y\right)\right)\,\exp \right)$

$y^3{\ⅇ}^x$

$\mathrm{combine}\left(\exp \left(x+\frac{3}{2}\ln \left(y\right)\right)\,\exp \right)$

${\ⅇ}^{x+\frac{3\ln \left(y\right)}{2}}$