Answer
$16x^{12}$
Work Step by Step
Based on the power of a product rule, we know that $(ab)^{n}=a^{n}b^{n}$ (where $n$ is a positive integer and $a$ and $b$ are real numbers).
Therefore, $(4x^{6})^{2}=4^{2}\times (x^{6})^{2}=16(x^{6})^{2}$.
Based on the power rule for exponents, we know that $(a^{m})^{n}=a^{mn}$ (where $m$ and $n$ are positive integers and $a$ is a real number).
Therefore, $16(x^{6})^{2}=16x^{6\times2}=16x^{12}$.
