\(\frac{0.4^{(-5)}}{0.2^{(-4)}}\) =\(\frac{0.2^{(4)}}{0.4^{(5)}}\) =\(\frac{0.2*0.2*0.2*0.2}{0.4*0.4*0.4*0.4*0.4}\) =\(\frac{10}{2*2*2*2*4}\) =\(\frac{5}{2*2*2*2*2}\) =\(\frac{5}{32}\) (Option E)
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