Which of the following is equivalent to the expression (2⋅5i)2

Question

?(1 point)
Responses

−100
negative 100

100
100

5i⋅2
5 i times 2

100i

Answer 1

To evaluate the expression \((2 \cdot 5i)^2\), we can first simplify inside the parentheses:

\[ 2 \cdot 5i = 10i \]

Now we can square it:

\[ (10i)^2 = 10^2 \cdot i^2 = 100 \cdot (-1) = -100 \]

Therefore, the expression \((2 \cdot 5i)^2\) is equivalent to:

\[ \text{−100} \]

So the correct response is −100.