Answer
$64 x^{6}$.
Work Step by Step
The given expression is
$=(8x^3)^2$
Use the law of exponents $(ab)^m=a^m\cdot b^m$
We have $a=8,b=x^3$ and $m=2$
$=(8)^2\cdot (x^3)^2$
Use the law of exponents $(a^m)^n=a^{m\cdot n}$
$=8^2\cdot x^{3\cdot 2}$
Use $8^2=64$.
$=64 x^{6}$.