The given expression is
[tex] 4^3 * 4^{-5} [/tex]
Here we have to use the product rule of exponent, according to which in case of multiplication, we have to add the exponents, that is
[tex] 4^3 * 4^{-5} = 4^{3-5} = 4^{-2} [/tex]
So out of the given options, correct option is A .