Answer
$$16^2\times16^{-1.75}=2$$
Work Step by Step
$$16^2\times16^{-1.75}$$
As $16\gt0$, we can apply the law of exponents here, which states that $$a^x\times a^y=a^{x+y}$$
Therefore, $$16^2\times16^{-1.75}=16^{2-1.75}=16^{0.25}=16^{1/4}=\sqrt[4]{16}=2$$