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.