Mathematics

Question

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

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

2 Answer

  • 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

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