What is expand ((7+43i)^5)/(11881376) ?

The solution to expand ((7+43i)^5)/(11881376) is 28333193/2970344+(27141557i)/(2970344)

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expand ((7+43i)^5)/(11881376)

expand

\frac{( 7 + 43 i ) ^{5}}{11881376}

\frac{28333193}{2970344} + \frac{27141557 i}{2970344}

Solution steps

\frac{( 7 + 43 i ) ^{5}}{11881376}

(7 + 43 i)^{5} = 113332772 + 108566228 i

= \frac{113332772 + 108566228 i}{11881376}

Apply the fraction rule:

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

\frac{113332772 + 108566228 i}{11881376} = \frac{113332772}{11881376} + \frac{108566228 i}{11881376}

= \frac{113332772}{11881376} + \frac{108566228 i}{11881376}

Cancel

\frac{113332772}{11881376} : \frac{28333193}{2970344}

= \frac{28333193}{2970344} + \frac{108566228 i}{11881376}

Cancel

\frac{108566228 i}{11881376} : \frac{27141557 i}{2970344}

= \frac{28333193}{2970344} + \frac{27141557 i}{2970344}

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What is expand ((7+43i)^5)/(11881376) ?
The solution to expand ((7+43i)^5)/(11881376) is 28333193/2970344+(27141557i)/(2970344)