To simplify $(2r^3)^3$, follow these steps:

1. Apply the power of a power rule, which states $(a^m)^n = a^{m \cdot n}$.

   So, we can rewrite this as: $2^3 \cdot (r^3)^3$

2. Simplify each part:

   • $2^3 = 8$
   • $(r^3)^3 = r^{3 \cdot 3} = r^9$

3. Combine the results: $8r^9$

Final Answer:

$(2r^3)^3 = 8r^9$

Would you like more details or have any questions?

Here are some related questions to explore this concept further:

1. How do you simplify $(3x^4)^2$?
2. What is the result of $(5y^2)^4$?
3. Can you simplify $(3a^3b)^2$?
4. How does the power of a power rule work with fractional exponents?
5. What is the general formula for $(k \cdot x^m)^n$?

Tip: When raising a product to a power, raise each term within the parentheses to that power separately.