First we can use the properti of rhe radicals, that let us divide each of the term inside it, because there is not an addition or a substraction so:
[tex]\sqrt[]{16x^7x^4}=\sqrt[]{16}\sqrt[]{x^7}\sqrt[]{x^4}[/tex]
Now we can simplify like:
[tex]4\sqrt[]{x^7}\sqrt[]{x^4}[/tex]
Now we can use this:
[tex]\sqrt[x]{a^y}=a^{\frac{y}{x}}[/tex]
So:
[tex]4x^{\frac{7}{2}}y^{\frac{4}{2}}=4x^{\frac{7}{2}}y^{2^{}}[/tex]
So the solution is the numeral D.
