Represent the following phrase as an algebraic expression, where "a number" is the letter \( x \). You do not need to simplify. The quotient of 1 and the square of a number.

To represent the phrase **"The quotient of 1 and the square of a number"** algebraically, follow these steps: 1. **Identify the components:** - **Quotient of 1 and something**: This implies a division where 1 is the numerator. - **Square of a number (x)**: This means \( x^2 \). 2. **Combine them into an expression:** The quotient (division) of 1 by \( x^2 \) is written as: \[ \frac{1}{x^2} \] Alternatively, it can be expressed using the division symbol: \[ 1 \div x^2 \quad \text{or} \quad 1 / x^2 \] **Final Algebraic Expression:** \[ \frac{1}{x^2} \]