Large Numbers = Worse!

Level pending

If $$a, b, c, d, e$$ are integers such that

$$a = b^{2}$$

$$b = c^{3}$$

$$c = d^{4}$$

$$d = e^{5}$$,

If $$e>1$$, what is the smallest possible whole number that can be the integer $$a$$?

Don't be confused with the choices. The last digit is important.

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