\begin{tabular}{l} \#8 i \\ \hline Simplify \( (2 y)^{7} \) \\ The simplified expression is \( \square \) \\ Then \end{tabular}

To simplify \( (2y)^{7} \), you apply the power of a product property, which states that \( (ab)^{n} = a^{n} \cdot b^{n} \). In this case, you separate the constants and the variable: \[ (2y)^{7} = 2^{7} \cdot y^{7} = 128y^{7} \] The simplified expression is \( 128y^{7} \). Now, you can count on this result to work with larger expressions as needed! Remember, mastery of these expansion techniques makes algebra feel like second nature.