### Instruction: Simplify $(2x^3)^3$.### Response: To simplify this expression, I need to apply the exponent rules for powers of powers.
I know that $(a^b)^c = a^{bc}$, so I can rewrite the expression as $2^3 x^{3 \cdot 3}$.
Now I just need to simplify the exponents.
I know that $2^3 = 8$ and $3 \cdot 3 = 9$, so the expression becomes $8x^9$.
This is the simplest form of the expression.