The expression 2i^2+3i^3 is equivalent to ?

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jgeertz's profile pic

jgeertz | College Teacher | (Level 1) Associate Educator

Posted on

2i^2 + 3i^3

i raised to the 2 power is -1.

2 (-1) +3i^3

Multiply 2 by -1 to get -2.

-2 +3i^3

i raised to the 3 power is -i.

-2 + 3(-i)

Multiply 3 by -i to get -3i.

-2-3i

2i^2+3i^3 simplified is equivalent to -2-3i

Sources:
hkj1385's profile pic

hkj1385 | (Level 1) Assistant Educator

Posted on

NOTE:- i^(2n) = (i^2)^n = (-1)^n ; where n = natural number

Thus i^2 = -1   &  i^3 = -1*i = -i

Hence 2i^2 + 3i^3 = (2*-1) + (3*-i) = -2 - 3i 

hinkberries's profile pic

hinkberries | Student, Undergraduate | (Level 1) Honors

Posted on

-3i - 2 is your answer.

i^2 = -1

so replace every i^2 with -1

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