(7v)^2

less than a minute read Jun 16, 2024
(7v)^2

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.

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