![( \frac{a {}^{ - 1}b {}^{2} }{a {}^{2}b {}^{ - 4} } ) \div ( \frac{a {}^{3}b {}^{ - 5} }{a {}^{ - 2}b {}^{3} } ) = a {}^{x}.b {}^{y} ( \frac{a {}^{ - 1}b {}^{2} }{a {}^{2}b {}^{ - 4} } ) \div ( \frac{a {}^{3}b {}^{ - 5} }{a {}^{ - 2}b {}^{3} } ) = a {}^{x}.b {}^{y}](https://tex.z-dn.net/?f=%28+%5Cfrac%7Ba+%7B%7D%5E%7B+-+1%7Db+%7B%7D%5E%7B2%7D++%7D%7Ba+%7B%7D%5E%7B2%7Db+%7B%7D%5E%7B+-+4%7D++%7D+%29++%5Cdiv+%28+%5Cfrac%7Ba+%7B%7D%5E%7B3%7Db+%7B%7D%5E%7B+-+5%7D++%7D%7Ba+%7B%7D%5E%7B+-+2%7Db+%7B%7D%5E%7B3%7D++%7D+%29+%3D+a+%7B%7D%5E%7Bx%7D.b+%7B%7D%5E%7By%7D+)
find the value of x and y
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