Answer
False
Work Step by Step
The point here is to think of this as just the power rule, but that requires the variable $x$ to be the base, not the exponent.
Instead, we have another rule when a constant value is raised to a variable we are differentiating with respect to.
This rule states that $\frac{d}{dx}(a^{x})=a^{x}ln(a)$
Notice that if $a=e$ then we have our classic exponential derivative property because $ln e=1$
Hence, the given statement is false.
