## Understanding (7v)^2

In mathematics, the expression (7v)^2 represents the **square of the quantity 7v**. This means we multiply the quantity by itself.

### Expanding the Expression

To simplify (7v)^2, we can use the following property of exponents:

**(ab)^n = a^n * b^n**

Applying this property to our expression:

(7v)^2 = 7^2 * v^2

### Calculation

Now, we can calculate the squares:

7^2 = 49 v^2 = v * v

Therefore, the simplified form of (7v)^2 is:

**(7v)^2 = 49v^2**

### Conclusion

The expression (7v)^2 simplifies to **49v^2**, which represents the square of the product of 7 and v.