Respuesta :

the answer is A) -14 + 4i. God bless!

Answer:

The simplified form of complex expression is -14+4i

A is correct.

Step-by-step explanation:

Given: [tex]8i^6+6i^5-5i^3-3i^2-7i-9[/tex]

As we know, [tex]i^2=-1[/tex]

[tex]i^6=-1[/tex]

[tex]i^5=i[/tex]

Put the value and simplify i

[tex]\Rightarrow 8(-1)+6(i)-5(-i)-3(-1)-7i-9[/tex]

[tex]\Rightarrow -8+6i+5i+3-7i-9[/tex]3

Combine the like term and simplify it

[tex]\Rightarrow (-8+3-9)+(6i+5i-7i)[/tex]

[tex]\Rightarrow -14+4i[/tex]

Hence, The simplified form of complex expression is -14+4i