What is ((3+8i)^4)/((1+i)^{10)} ?

The solution to ((3+8i)^4)/((1+i)^{10)} is -165-i 721/32

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simplify ((3+8i)^4)/((1+i)^{10)}

simplify

\frac{( 3 + 8 i ) ^{4}}{( 1 + i ) ^{10}}

- 165 - i \frac{721}{32}

Solution steps

\frac{( 3 + 8 i ) ^{4}}{( 1 + i ) ^{10}}

(1 + i)^{10} = 32 i

= \frac{( 3 + 8 i ) ^{4}}{32 i}

Rationalize

\frac{( 3 + 8 i ) ^{4}}{32 i} : \frac{- 5280 - 721 i}{32}

= \frac{- 721 i - 5280}{32}

Rewrite

\frac{- 721 i - 5280}{32}

in standard complex form:

- 165 - \frac{721}{32} i

= - 165 - \frac{721}{32} i

s^{2} + 5 s + 100 = 0

∣ 2 - 3 x ∣ > 1

275

2 x^{2} + 4 x - 48 = 0

x^{2} + 3 x - \frac{7}{4} = 0

What is ((3+8i)^4)/((1+i)^{10)} ?
The solution to ((3+8i)^4)/((1+i)^{10)} is -165-i 721/32