Answer
$-216x^{6}$
Work Step by Step
According to the power rule for exponents, $(a^{m})^{n}=a^{mn}$ (where $m$ and $n$ are integers and $a$ is a real number).
Therefore, $(-6x^{2})^{3}=(-1\times6\times x^{2})^{3}=(-1)^{1\times3}\times6^{1\times3}\times x^{2\times3}=(-1)^{3}\times6^{3}\times x^{6}=-1\times216\times x^{6}=-216x^{6}$.
