Perform the indicated operation \& simplify. Express the answer in terms of $$ i $$ (as a complex number). $$ (-7 i)(2 i)=\square $$

Question

UpStudy AI · Accepted Answer

To perform the multiplication $$(-7i)(2i)$$ and simplify the expression in terms of $$i$$, follow these steps:

1. **Multiply the coefficients:**
   $$
   -7 \times 2 = -14
   $$

2. **Multiply the imaginary units:**
   $$
   i \times i = i^2
   $$
   Recall that $$i^2 = -1$$.

3. **Combine the results:**
   $$
   -14 \times i^2 = -14 \times (-1) = 14
   $$

So, the simplified result is:

$$
(-7i)(2i) = 14
$$

**Answer:** $$14$$
$$(-7i)(2i) = 14$$

Perform the indicated operation \& simplify. Express the answer in terms of \( i \) (as a complex number). \( (-7 i)(2 i)=\square \)