An algebra problem by Albert Go

Algebra Level 2

Simplify: \(\log _{ 4 }{ \{ { [\frac { \log _{ 4 }{ \frac { 256 }{ 64 } } }{ \sin { 32 } \cos { 13 } +\cos { 32 } \sin { 13 } } ] }^{ 2\log _{ 2 }{ 4 } } } \} \quad -1\quad\)

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