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A farmer F1 has a land in the shape of a...

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 gt1)`. If the area of the region taken away by the farmer `F_2` is exactly `30%` of the area of `DeltaPQR`, then the value of `n` is _______.

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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 P Q 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 P Q R , then the value of n is _______.

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