What is ((2+2i)^4)/((1+isqrt(3))^6) ?

The solution to ((2+2i)^4)/((1+isqrt(3))^6) is -1

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simplify ((2+2i)^4)/((1+isqrt(3))^6)

simplify

\frac{( 2 + 2 i ) ^{4}}{( 1 + i 3 ) ^{6}}

- 1

Solution steps

\frac{( 2 + 2 i ) ^{4}}{( 1 + i 3 ) ^{6}}

Expand

(2 + 2 i)^{4} : - 64

= \frac{- 64}{( 1 + i 3 ) ^{6}}

Expand

(1 + i 3)^{6} : 64

= \frac{- 64}{64}

Divide the numbers:

\frac{- 64}{64} = - 1

= - 1

\frac{8}{7}

6 \frac{1}{2}

(2 a + 3 b) (2 a - 3 b)

\frac{b + 3}{b ^{2} - 9} + \frac{1}{b - 3}

\frac{( 3 x ^{2} - 14 x - 5 )}{( x - 5 )}

What is ((2+2i)^4)/((1+isqrt(3))^6) ?
The solution to ((2+2i)^4)/((1+isqrt(3))^6) is -1