After a delicious meal at the well-known French restaurant La Racine et Puissance Rationelle, critic Ivor Smallbrain

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After a delicious meal at the well-known French restaurant La Racine et Puissance Rationelle, critic Ivor Smallbrain notices that the bill comes to \(x\) pounds, \(y\) pence, where \(x\) and \(y\) are the smallest integers greater than 1 that satisfy the equation \(y^{4 / 3}=x^{5 / 6}\).

How much is the bill?

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