Question

Simplify 8i^6+6i^5-5i^3-3i^2-7i-9

A) -14+4i B) -4+4i C) -10i D) -14-18i

Answer 1

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

Answer 2

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

A is correct.

Explanation:

Given:
`8i^6+6i^5-5i^3-3i^2-7i-9`

As we know,
`i^2=-1`

`i^6=-1`

`i^5=i`

Put the value and simplify i

`\Rightarrow 8(-1)+6(i)-5(-i)-3(-1)-7i-9`

`\Rightarrow -8+6i+5i+3-7i-9`3

Combine the like term and simplify it

`\Rightarrow (-8+3-9)+(6i+5i-7i)`

`\Rightarrow -14+4i`

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