How do you multiply and simplify the product of 2i and 5i?

To find the product of 2i and 5i, follow these steps:

1. Multiply the coefficients: 2 and 5. This gives us:

2 × 5 = 10

2. Multiply the imaginary units: i × i = i². By definition, i² = -1. So we have:

i × i = -1

3. Combine the results: Now you can combine the products:

2i × 5i = 10(i × i) = 10(-1) = -10

Therefore, the simplified product of 2i and 5i is -10.