A farmer $$𝐹_{1}$$ has a land in the shape of a triangle with vertices at 𝑃(0, 0), 𝑄(1, 1) and 𝑅(2, 0). From this land, a neighbouring farmer $$𝐹_{2}$$ takes away the region which lies between the side 𝑃𝑄 and a curve of the form y =$$ 𝑥^{n}(n >1)$$ If the area of the region taken away by the farmer $$𝐹_{2}$$ is exactly 30% of the area of $$\triangle$$ 𝑃𝑄𝑅, then the value of 𝑛 is .......