A farmer F, 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 takes away the region which lies between the side PQ and a curve of the form y=x" (n>1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of APQR, then the value of n is