Simplify the given expression. \[ (20 \div 5 \times 5)^{2} \]

To simplify the expression \[ (20 \div 5 \times 5)^{2} \], follow these steps: 1. **Evaluate inside the parentheses first**, adhering to the order of operations (PEMDAS/BODMAS), which dictates that multiplication and division are performed from left to right. \[ 20 \div 5 \times 5 \] - **Step 1:** \( 20 \div 5 = 4 \) - **Step 2:** \( 4 \times 5 = 20 \) So, the expression inside the parentheses simplifies to \( 20 \). 2. **Raise the result to the power of 2**: \[ 20^{2} = 20 \times 20 = 400 \] **Final Answer:** \( 400 \)