Simplify. \( \left(v^{-6}\right)^{2} \) Write your answer without using negative \( \square \)

To simplify \( \left(v^{-6}\right)^{2} \), you can use the power of a power property of exponents, which states that \( (a^{m})^{n} = a^{m \cdot n} \). Thus, you multiply the exponents: \[ \left(v^{-6}\right)^{2} = v^{-6 \cdot 2} = v^{-12} \] To express this without using negative exponents, you can rewrite it as: \[ v^{-12} = \frac{1}{v^{12}} \] So, the simplified expression is: \[ \frac{1}{v^{12}} \]