e: 17\% Question Watch Video Show Examples Fully simplify. \[ -9 x^{5} y\left(x^{3} y^{3}\right) \] Answer Attempt 1 out of 2 \( \square \) Submit Answer

To simplify the expression \(-9x^{5}y\left(x^{3}y^{3}\right)\), begin by applying the distributive property. Multiply the coefficients and the variables separately: \[ -9 \cdot 1 = -9 \] Next, for the \(x\) terms, add the exponents: \(x^{5} \cdot x^{3} = x^{5+3} = x^{8}\). For the \(y\) terms, similarly, add the exponents: \(y^{1} \cdot y^{3} = y^{1+3} = y^{4}\). So, the simplified expression is: \[ -9x^{8}y^{4} \] --- Looking at the real-world applications of polynomial simplifications like this, such expressions can come in handy while dealing with areas in physics or engineering, such as calculating moments of inertia or forces acting in multiple dimensions. Simplifying polynomials helps professionals quickly derive solutions for complex problems. Additionally, make sure to keep an eye on the negative sign during simplifications! A common mistake is to drop it or forget to apply it when finalizing the expression, leading to incorrect results that can skew any calculations significantly in both academic and practical situations.