Question

The multiplicative inverse of
10\overline{ }^{100}\ is\ -10010

100
is ​

Answer 1

Answer:

Multiplicative inverse of z=z

−1

⇒ Multiplicative inverse of z=

z

1

Putting z=4−3i

Multiplicative inverse of 4−3i=

4−3i

1

=

4−3i

1

×

4+3i

4+3i

=

(4−3i)(4+3i)

4+3i

=

(4)

2

−(3i)

2

4+3i

[(a+b)(a−b)=a

2

−b

2

]

=

16−9i

2

4+3i

=

16−9(−1)

4+3i

[i

2

=−1]

=

16+9

4+3i

=

25

4+3i

=

25

4

+

25

3

i