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Popular >

simplify 4e^{(-5pii)/6}

Solution

simplify

4 e^{\frac{- 5 πi}{6}}

Solution

- 23 - 2 i

Solution steps

4 e^{\frac{- 5 πi}{6}}

e^{\frac{- 5 πi}{6}} = \frac{- 3 - i}{2}

= 4 \cdot \frac{- 3 - i}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( - 3 - i ) \cdot 4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 (- 3 - i)

Rewrite

2 (- 3 - i)

in standard complex form:

- 23 - 2 i

= - 23 - 2 i

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Frequently Asked Questions (FAQ)

What is 4e^{(-5pii)/6} ?
The solution to 4e^{(-5pii)/6} is -2sqrt(3)-2i