What is the value of $(k-\frac{1}{k}) (k^2+\frac{1}{k^2})(k^4+\frac{1}{k^4})(k^8+\frac{1}{k^8}) (k^{16}+\frac{1}{k^{16}}) ?$

$k^{64}+\frac{1}{k^{64}}$ $\frac{k^{32}-\frac{1}{k^{32}}}{k-\frac{1}{k}}$ $k^{32}+\frac{1}{k^{32}}$ $\frac{k^{32}-\frac{1}{k^{32}}}{k+\frac{1}{k}}$

$\frac{k^{32}-\frac{1}{k^{32}}}{k+\frac{1}{k}}$