if z=4+3i then find modulus and multiplication inverse of z

We have 
z = 4 + 3i

z = (4)2 + (3)2 = 16 + 9 = 25 = 5

​Now,

z¯ = 4 - 3iz-1 = z¯z2 = 4 - 3i25
 

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modulus=5 and inverse =4-3i

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