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, a 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
△PQR, then the value of n is _____ .
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