Final answer:
To simplify the expression (-3i)(4i)(-5i), first multiply -3i and 4i to get -12i^2. Then, multiply -12i^2 by -5i to get -60i^3. Finally, simplify i^3 by using the fact that i^3 is equal to -i. The simplified expression is 60i.
Step-by-step explanation:
To simplify the expression (-3i)(4i)(-5i), we can use the fact that i^2 equals -1. First, we can multiply -3i and 4i to get -12i^2. Then, we can multiply -12i^2 by -5i to get -60i^3. Finally, we can simplify i^3 by using the fact that i^3 is equal to -i. So, -60i^3 becomes -60(-i), which simplifies to 60i. Therefore, the simplified expression is 60i.