Fsc Part 1 Mathematics (Complete Solution)

Q4
Simplify the following

(i). ι9

SOLUTION:

ι98+1

8ι

=(ι2)4ι                        (we know that ι2=-1)

=(-1)4ι

=(1) (ι)

(ii) ι14

SOLUTION:

=(ι2)7

=(-1)7

=-1

(iii) (-ι)19

SOLUTION:

=(-1)19(ι)19

=-1(ι)18

=-(ι2)9

=-(-1)9ι

=-(-1)ι

=-(-ι)

(iv) (-1)-21/2

SOLUTION:

=(-1)-21/2

=[(-1)1/2]-21

= [  -1 ] -21

we know that ι2=-1 ,so therefore    -1 

-21

=
1
ι21
=
1
ι20
=
1
2)10
=
1
(-1)10
=
1
ι
=
1
ι
x
ι
ι
=
ι
ι2
=
ι
-1

  =  -ι

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