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Popular >

simplify 3i^3

Solution

simplify

3 i^{3}

Solution

- 3 i

Solution steps

3 i^{3}

Apply exponent rule:

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

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

= 3 i^{2} i

Apply imaginary number rule:

i^{2} = - 1

= 3 (- 1 i)

Apply rule:

1 \cdot a = a

- 1 i = - i

= 3 (- i)

Apply rule:

a (- b) = - ab

3 (- i) = - 3 i

= - 3 i

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Frequently Asked Questions (FAQ)

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