What is 10e^{(3pi)/4 i} ?

The solution to 10e^{(3pi)/4 i} is -5sqrt(2)+5sqrt(2)i

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simplify 10e^{(3pi)/4 i}

simplify

10 e^{\frac{3 π}{4} i}

- 52 + 52 i

Solution steps

10 e^{\frac{3 π}{4} i}

e^{\frac{3 π}{4} i} = \frac{- 2 + 2 i}{2}

= 10 \cdot \frac{- 2 + 2 i}{2}

Multiply fractions:

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

= \frac{( - 2 + 2 i ) \cdot 10}{2}

Divide the numbers:

\frac{10}{2} = 5

= 5 (- 2 + 2 i)

Rewrite

5 (- 2 + 2 i)

in standard complex form:

- 52 + 52 i

= - 52 + 52 i

(\frac{3}{x} + \frac{x}{3})^{11}

i^{335}

\frac{\frac{1}{8} \cdot 1 0 ^{- 2}}{\frac{5}{16} \cdot 1 0 ^{- 4}}

sin^{2} (x) - 1

\frac{cos ( 2 x )}{cos ( x )}

What is 10e^{(3pi)/4 i} ?
The solution to 10e^{(3pi)/4 i} is -5sqrt(2)+5sqrt(2)i