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Popular >

simplify 2i^3

Solution

simplify

2 i^{3}

Solution

- 2 i

Solution steps

2 i^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

i^{3} = i^{2} i

= 2 i^{2} i

Apply imaginary number rule:

i^{2} = - 1

= 2 (- 1 i)

Apply rule:

1 \cdot a = a

- 1 i = - i

= 2 (- i)

Apply rule:

a (- b) = - ab

2 (- i) = - 2 i

= - 2 i

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Frequently Asked Questions (FAQ)

What is 2i^3 ?
The solution to 2i^3 is -2i