simplify (0.5+i)^4

Solution

simplify

(0.5 + i)^{4}

- \frac{7}{16} - \frac{3}{2} i

Solution steps

(0.5 + i)^{4}

Expand

(0.5 + i)^{4} : - \frac{7}{16} + \frac{1}{2} i - 2 i

= - \frac{7}{16} + \frac{1}{2} i - 2 i

Rewrite in standard complex form:

- \frac{7}{16} - \frac{3}{2} i

= - \frac{7}{16} - \frac{3}{2} i

(x + x)^{3}

d g (- sin (\frac{π}{12}) - (0.12) cos (\frac{π}{12}))

(n^{2} - n)^{2}

\frac{8 e ^{- π s}}{( s ^{2} + 1 ) ( s ^{2} + 9 )}

\frac{1}{1 + x ^{4}}