To simplify the expression \(x^3 (y^2)(x^4)\), you can combine the like terms that involve \(x\). 1. First, group the \(x\) terms: \(x^3 \cdot x^4\). 2. When multiplying powers with the same base, you add the exponents: \[ x^3 \cdot x^4 = x^{3+4} = x^7 \] 3. Now combine this with \(y^2\): \[ x^7 y^2 \] So the simplified form of the expression \(x^3 (y^2)(x^4)\) is \[ x^7 y^2. \]