Answer:
the value of 5^3 i^9 = 125 i
Step-by-step explanation:
We need to find the value of 5^3 i^9
'i' is a complex number (Imaginary)
The value of 5^3 = 555= 125
the value of i^2 =-1
i^3 = -i
i^4= 1
\(i^9 = i ^{4+4+1}\)
\(i^9 = i^4 * i^4 * i\)
\(i^9 = 1*1 * i=i\)
So the value of 5^3 i^9 = 125 i
