An Easy Trigo Product

Geometry Level 4

If the value of \[\prod _{ k=1 }^{ 17 }{ \sin { \frac { k\pi }{ 18 } } } \] can be expressed in the form \[\frac { { 3 }^{ m } }{ { 2 }^{ n } }\] find the sum \[(m+n)\]

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