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Question Number 192346 by Rupesh123 last updated on 15/May/23

Answered by som(math1967) last updated on 15/May/23

$${\left(\frac{2cos30cos20+cos70+cos(180-70)}{cos20}\right)}^8$$$$={\left(\frac{\sqrt{3}cos20+\cos 70-\cos 70}{cos20}\right)}^8$$$$={\left(\frac{\sqrt{3}cos20}{cos20}\right)}^8$$$$={\left(\sqrt{3}\right)}^8=81$$

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