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Popular >

simplify 8e^{-(pii)/6}

Solution

simplify

8 e^{- \frac{πi}{6}}

Solution

43 - 4 i

Solution steps

8 e^{- \frac{πi}{6}}

e^{- \frac{πi}{6}} = \frac{3 - i}{2}

= 8 \cdot \frac{3 - i}{2}

Multiply fractions:

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

= \frac{( 3 - i ) \cdot 8}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4 (3 - i)

Rewrite

4 (3 - i)

in standard complex form:

43 - 4 i

= 43 - 4 i

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Frequently Asked Questions (FAQ)

What is 8e^{-(pii)/6} ?
The solution to 8e^{-(pii)/6} is 4sqrt(3)-4i