Question

(4-3i)power -1 simplify and express each of following

Answer 1

this is the answer.....................

Answer 2

( 4 - 3 i )^-1


= 1 / 4 - 3i


by rationalising denominator , we get


= 1 /( 4 - 3i ) × ( 4 + 3i ) / 4 + 3i



= 4 + 3i / ( 4 )^2 - ( 3i )^2



= 4 + 3i / 16 - 9 i^2



since , we know that , i^2 = - 1

therefore ,


= 4 + 3i / 16 - 9 ( - 1)



= 4+ 3i / 16 + 9




= 4 + 3i / 25



= 4 / 25 + 3i / 25



= 4 /25 + (3 / 25)i




= a + b i