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Popular >

simplify 4*e^{(ipi)/3}

Solution

simplify

4 \cdot e^{\frac{iπ}{3}}

Solution

2 + 23 i

Solution steps

4 e^{\frac{iπ}{3}}

e^{\frac{iπ}{3}} = \frac{1 + 3 i}{2}

= 4 \cdot \frac{1 + 3 i}{2}

Multiply fractions:

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

= \frac{( 1 + 3 i ) \cdot 4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 (1 + 3 i)

Rewrite

2 (1 + 3 i)

in standard complex form:

2 + 23 i

= 2 + 23 i

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Frequently Asked Questions (FAQ)

What is 4*e^{(ipi)/3} ?
The solution to 4*e^{(ipi)/3} is 2+2sqrt(3)i