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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Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.