Question

Simplify

Answer 1

If you mean $\sqrt[6]{x^{16}}$ and not $(\sqrt[6]{x})^{16}$  then

remember$\sqrt[n]{x^m} =x^ \frac{m}{n}$
and
$x^{m+n}=(x^m)(x^n)$
so
$\sqrt[6]{x^{16}}= x^\frac{16}{6}=(x^\frac{12}{6})(x^\frac{4}{6})$=
$(x^2)(x^\frac{4}{6})=x^2 \sqrt[6]{x^4}$

C is answer