Final answer:
The expression (-2n)(-2n) simplifies to (2n)^2, which equals 4n^2 because the negative signs cancel out and each term is squared.
Step-by-step explanation:
The question asks to write the expression (-2n)(-2n) using a single e. In mathematics, when you multiply two identical terms, you raise the term to the power of 2. Therefore, the expression (-2n)(-2n) can be simplified to (2n)^2, because the negative signs cancel each other out, and you are squaring the term 2n.
Furthermore, squaring the term means multiplying it by itself. So, in detail, this is calculated as (-2n) * (-2n) = 4n^2 since -2 * -2 = 4 and n * n = n^2. Hence, the expression simplified to a single e is 4n^2.