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magical cook
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Realize that .8 = 8/10 = 4/5
.4 = 4/10 = 2/5
.08^-5 = 1/(4/5)^5 = (5/4)^5
.04^-4 = 1/(2/5)^4 = (5/2)^4
We want to solve for:
(5/4)^5/(5/2)^4
(5^5/4^5)/(5^4/2^4)
=(5^5/2^10)/(5^4)/(2^4)
=(5^5*2^4)/(5^4*2^10)
=5/2^6
=5/64
Answer B.
