What is ((8i)/(1+i))^{1/6} ?

The solution to ((8i)/(1+i))^{1/6} is (4+4i)^{1/6}

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simplify ((8i)/(1+i))^{1/6}

simplify

(\frac{8 i}{1 + i})^{\frac{1}{6}}

(4 + 4 i)^{\frac{1}{6}}

Solution steps

(\frac{8 i}{1 + i})^{\frac{1}{6}}

Simplify

\frac{8 i}{1 + i} : 4 i + 4

= (4 i + 4)^{\frac{1}{6}}

Rewrite in standard complex form:

(4 + 4 i)^{\frac{1}{6}}

= (4 + 4 i)^{\frac{1}{6}}

\frac{6}{96}

(X + 7)^{2}

\frac{3}{3 5}

x^{- 1} - 1

(\frac{- 4}{3})^{2}