Question

Simplify each expression.

${\left(2n\right)}^2$

Short answer

The simplified form is,

${\left(2n\right)}^2=4n^2$.

Step-by-step solution

Step 1. Given information.

The given expression is,

${\left(2n\right)}^2$

Step 2. It can be further written as below.

We have the given expression is ${\left(2n\right)}^2$

Then,

$\begin{array}{c}{\left(2n\right)}^2=\left(2n\right)\left(2n\right)\\ =4n^2\end{array}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the simplified form is, ${\left(2n\right)}^2=4n^2$.