Simplify. \[ \left(4 b a^{4}\right)^{3} \] Write your answer without parenthes

To simplify \( \left(4 b a^{4}\right)^{3} \), we apply the power of a product rule. This means we raise each factor inside the parentheses to the power of 3. Calculating each part: - The constant \( 4 \) raised to the third power is \( 4^3 = 64 \). - For \( b \), we have \( b^3 = b^3 \). - For \( a^{4} \), we apply \( (a^{4})^{3} = a^{4 \cdot 3} = a^{12} \). Combining these results gives us: \[ 64 b^{3} a^{12} \] So the simplified expression is: 64b^3a^{12}