A farmer F1 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, neighbouring farmer F2 takes away the region which lies between the side PQ and a curve of the form y=xn (n>1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR, then the value of n is ________. [JEE(Advanced) 2018]