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For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer
A farmer $$๐น_{1}$$ has a land in the shape of a triangle with vertices at ๐(0, 0), ๐(1, 1) and ๐ (2, 0). From this land, a neighbouring farmer $$๐น_{2}$$ takes away the region which lies between the side ๐๐ and a curve of the form y =$$ ๐ฅ^{n}(n >1)$$ If the area of the region taken away by the farmer $$๐น_{2}$$ is exactly 30% of the area of $$\triangle$$ ๐๐๐ , then the value of ๐ is .......
Correct Answer: e
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