Ответ:
При \(y\ne 0\): \(\sqrt{16}=4\), \(\sqrt{x^4}=x^2\), \(\sqrt{y^6}=|y|^3\).
\(\sqrt{\frac{16x^4}{y^6}}=\frac{4x^2}{|y|^3}.\)
Ответ: \(\frac{4x^2}{|y|^3}\).
При \(y\ne 0\): \(\sqrt{16}=4\), \(\sqrt{x^4}=x^2\), \(\sqrt{y^6}=|y|^3\).
\(\sqrt{\frac{16x^4}{y^6}}=\frac{4x^2}{|y|^3}.\)
Ответ: \(\frac{4x^2}{|y|^3}\).