Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
$\frac{e^1e^x}{1+x}$
2
Any expression to the power of $1$ is equal to that same expression
$\frac{ee^x}{1+x}$
Final answer to the problem
$\frac{ee^x}{1+x}$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.