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 = 5*5*5= 125
the value of i^2 =-1
i^3 = -i
i^4= 1
[tex]i^9 = i ^{4+4+1}[/tex]
[tex]i^9 = i^4 * i^4 * i[/tex]
[tex]i^9 = 1*1 * i=i[/tex]
So the value of 5^3 i^9 = 125 i
