# Equations and Functions #2

Calculus Level 3

There are two distinct real numbers, $$a$$ and $$b$$. For every real number $$c$$ that is equal to neither $$a$$ nor $$b$$, they satisfy:

$\large \frac{c^2e^{c-a}}{b^2}\neq e^{b-a}=\frac{a^2}{b^2}$

Given that $$b\neq0$$, find the value of $$\dfrac{(abe)^4}{e^{ab}}$$.

Notation: $$e$$ is the Euler's number.

This problem is an advanced form of the problem <Equations and Functions #1>.

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