## Understanding (7y)^2

In mathematics, (7y)^2 represents the **square of the entire expression 7y**. This means we are multiplying the expression by itself:

**(7y)^2 = (7y) * (7y)**

To simplify this, we can use the **distributive property** of multiplication:

**(7y) * (7y) = 7 * y * 7 * y**

Rearranging the terms, we get:

**7 * 7 * y * y = 49 * y^2**

Therefore, **(7y)^2 is equivalent to 49y^2**.

### Key Points to Remember:

**Squaring an expression means multiplying it by itself.****The distributive property allows us to expand the expression.****The exponent applies to both the coefficient (7) and the variable (y).**

### Example Application:

Let's say we have the expression (7y)^2 and we want to find its value when y = 2.

**Substitute y = 2:**(7 * 2)^2**Simplify the multiplication:**(14)^2**Calculate the square:**14 * 14 = 196

Therefore, when y = 2, the value of (7y)^2 is 196.

### Conclusion:

Understanding the concept of squaring expressions like (7y)^2 is crucial in simplifying algebraic expressions and solving equations. By applying the distributive property and understanding how exponents work, we can easily evaluate and simplify such expressions.