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u have m^n=1/81 cz both m and n are negative i.e. it should be (-ve)^(-ve) or in this case (-9)^(-2) or (-3) ^(-4) both of which satisfy the statement thus Insufficient
consider the 2nd statement
we have n^m= -(1/64)
so the options can be (-8)^(-2) or (-4)^(-3)
cz minus sign is already there that means the exponent has to be odd (that is the only way we would get a negative sign out of the base. thus we have only one solution (-4)^(-3) which give n=-4 and m=-3 or mn=12 hence Sufficient