Question

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