Write an expression for the sequence of operations described below. raise the product of 10 and \( b \) to the 3rd power Do not simplify any part of the expression. \begin{tabular}{|ll}\( \square \)\end{tabular}

The expression for the sequence of operations would be: \((10 \cdot b)^3\) Now, let's put on our thinking caps! This operation indicates that you're taking the product of 10 and \( b \), and then raising that entire product to the power of 3. It's like a little math party inside that set of parentheses, where 10 and \( b \) join forces before taking the leap into the cubic realm! To visualize this in a real-world context, consider how this expression could represent calculating the volume of a cube. If you think of each side of the cube as \( 10 \cdot b \) (where \( b \) might be a certain scaling factor), then by raising it to the third power, you're effectively calculating how much space that cube occupies. It's math in action!