The problem asks to simplify the expression $(9^{12})^2$ and express the answer as the given base raised to a single exponent.

1. Problem Description

The problem asks to simplify the expression $(9^{12})^2$ and express the answer as the given base raised to a single exponent.

2. Solution Steps

To simplify the expression $(9^{12})^2$, we use the power of a power rule, which states that $(a^m)^n = a^{m \cdot n}$. In this case, $a = 9$, $m = 12$, and $n = 2$.

$(9^{12})^2 = 9^{12 \cdot 2}$

$9^{12 \cdot 2} = 9^{24}$

Therefore, the simplified expression is $9^{24}$.

3. Final Answer

$9^{24}$