(x+iy)^5 i need this in U +iv form
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Step-by-step explanation:
if i is in form of ( x+iy)ⁿ×i
(x+iy)^5i. = i ( x+iy) ( x+iy) ⁴
- ( y-ix) [ ( x+iy)²]²
- ( y-ix) [ x²-y²+2ixy]²
-(y-ix) [ (x²-y²)²-4x²y²+ 4ixy]
[-y( x²-y²)²+4x²y³-4ixy²+ix( x²-y²)²-4ix³y²-4x²y]
[ {-y( x²-y²)²+4x²y³- 4x²y}. =>>>>>>>>Real - { 4xy²-x( x²-y²)²+4x³y²} i ]=>>>>>>>>imaginary
= X+ iY
where X= real part and Y is imaginary part
if i is in form of ( x+i y)ⁿi
( x+ i y) ^5i=[ (x+iy)^5]^i
[ { (x+iy)^5²}i²]½
[{( x+ iy)^5²}^-1]½
[{ x+iy}^(-25)]½
= (x+iy)^-25/2
this is form of (X+ iy)
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