Cosines And Pies

Geometry Level 4

\[\large\cos\dfrac{\pi}{15}\cos\dfrac{2{\pi}}{15}\cos\dfrac{3{\pi}}{15}\cos\dfrac{4{\pi}}{15}\cos\dfrac{5{\pi}}{15}\cos\dfrac{6{\pi}}{15}\cos\dfrac{7{\pi}}{15}= 2^n\].

Find the value of \(n\) satisfying the equation above.

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