Simplify (7-6t) + (8-3i)

Use the power rule

a

m

a

n

=

a

m

+

n

a

m

a

n

=

a

m

+

n

to combine exponents.

-

56

+

21

i

+

48

i

-

18

i

1

+

1

-

56

+

21

i

+

48

i

-

18

i

1

+

1

Add

1

1

and

1

1

to get

2

2

.

-

56

+

21

i

+

48

i

-

18

i

2

-

56

+

21

i

+

48

i

-

18

i

2

Rewrite

i

2

i

2

as

-

1

-

1

.

-

56

+

21

i

+

48

i

-

18

⋅

-

1

-

56

+

21

i

+

48

i

-

18

⋅

-

1

Multiply

-

18

-

18

by

-

1

-

1

to get

18

18

.

-

56

+

21

i

+

48

i

+

18

-

56

+

21

i

+

48

i

+

18

Add

-

56

-

56

and

18

18

to get

-

38

-

38

.

-

38

+

21

i

+

48

i

-

38

+

21

i

+

48

i

Add

21

i

21

i

and

48

i

48

i

to get

69

i

69

i

.

-

Solution) i = {2.666666667, 1.166666667}