Given:
There are given the expression:
[tex]\sqrt{16x^4}\cdot\sqrt[4]{16x^2}[/tex]Explanation:
To find the expression, we need to simplify the radicals:
So,
From the expression:
[tex]\sqrt{16x^4}\cdot\sqrt[4]{16x^2}=4x^2\cdot\sqrt[4]{16x^2}[/tex]Now,
[tex]\begin{gathered} 4x^2\sqrt[4]{16x^2}=4x^2\cdot2\sqrt[4]{x^2} \\ =8x^2\sqrt[4]{x^2} \end{gathered}[/tex]Final answer:
Hence, the simplified radical form is shown below:
[tex]8x^2\sqrt[4]{x^2}[/tex]