In \( 5 x^{\wedge} 2 y+13 x^{\wedge} 2 y \), what is the result?

To simplify the expression \( 5 x^{2} y + 13 x^{2} y \), follow these steps: 1. **Identify Like Terms**: Both terms \( 5 x^{2} y \) and \( 13 x^{2} y \) are like terms because they have the same variables raised to the same powers. 2. **Combine the Coefficients**: Add the coefficients (the numerical parts) of the like terms: \[ 5 + 13 = 18 \] 3. **Write the Simplified Expression**: Multiply the combined coefficient by the common variables: \[ 18 x^{2} y \] **Final Result:** \[ 18 x^{2} y \]