What is the value of 5^3i^9
-125i
-15i
15i
125i

Step-by-step explanation:

When we have potential expression that include imaginary numbers, we have to consider some basic results, because these imaginary potential expression are cyclical.

We know that:

So, elevating both members to a third power, we have:

So, , which is the beginning, that's why we say that it's like a cycle.

So, from the problem, we have:

To solve this, we consider the operations from the beginning:

; and

; because

Therefore, the result would be

Good morning ☕️

125i

Step-by-step explanation:

5³× i⁹ = 125 × i¹ = 125i

By the way :

i⁹ = (i⁴)²× i¹ = (1)²×i = i.

:)

ok

step-by-step explanation: