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MathNet 2017-part-06 — 176 problems (EN–VI) Question 77

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 77

Compute exactly the value of the expression $\left(\sin \frac{38 \pi}{3}\right)^{5}: 4^{\log _{2} 3-\log _{16} 256}$.