plz solve it as soon as possible
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Here is the answer
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j![{( \sqrt[3]{ {x}^{4}y } \times \frac{1}{ \sqrt[3]{x {y}^{7} } } )}^{ - 4}) \\ \\ \sqrt[3]{ {x}^{4} y} \: \: \: can \: be \: written \: as \\ x \sqrt[3]{xy} \\ similiarly \\ \sqrt[3]{x {y}^{7} } \: can \: be \: written \: as \\ {y}^{2} \sqrt[3]{xy} \: \\ \: so \: the \: equation \: becomes \\ {(x \sqrt[3]{xy} \times \frac{1}{ {y}^{2} \sqrt[3]{xy} }) }^{ - 4} \\ \\ \sqrt[3]{xy} \: \: will \: get \: cancelled \\ {(x \times \frac{1}{ {y}^{2} } )}^{ - 4} \\ which \: becomes \\ { \frac{( {y}^{2} }{x} )}^{ 4 } \\ \\ the \: answer \: - \\ \frac{ {y}^{8} }{{x}^{4} }](https://tex.z-dn.net/?f=+%7B%28+%5Csqrt%5B3%5D%7B+%7Bx%7D%5E%7B4%7Dy+%7D+%5Ctimes+%5Cfrac%7B1%7D%7B+%5Csqrt%5B3%5D%7Bx+%7By%7D%5E%7B7%7D+%7D+%7D+%29%7D%5E%7B+-+4%7D%29+%5C%5C+%5C%5C+%5Csqrt%5B3%5D%7B+%7Bx%7D%5E%7B4%7D+y%7D+%5C%3A+%5C%3A+%5C%3A+can+%5C%3A+be+%5C%3A+written+%5C%3A+as+%5C%5C+x+%5Csqrt%5B3%5D%7Bxy%7D+%5C%5C+similiarly+%5C%5C+%5Csqrt%5B3%5D%7Bx+%7By%7D%5E%7B7%7D+%7D+%5C%3A+can+%5C%3A+be+%5C%3A+written+%5C%3A+as+%5C%5C+%7By%7D%5E%7B2%7D+%5Csqrt%5B3%5D%7Bxy%7D+%5C%3A+%5C%5C+%5C%3A+so+%5C%3A+the+%5C%3A+equation+%5C%3A+becomes+%5C%5C+%7B%28x+%5Csqrt%5B3%5D%7Bxy%7D+%5Ctimes+%5Cfrac%7B1%7D%7B+%7By%7D%5E%7B2%7D+%5Csqrt%5B3%5D%7Bxy%7D+%7D%29+%7D%5E%7B+-+4%7D+%5C%5C+%5C%5C+%5Csqrt%5B3%5D%7Bxy%7D+%5C%3A+%5C%3A+will+%5C%3A+get+%5C%3A+cancelled+%5C%5C+%7B%28x+%5Ctimes+%5Cfrac%7B1%7D%7B+%7By%7D%5E%7B2%7D+%7D+%29%7D%5E%7B+-+4%7D+%5C%5C+which+%5C%3A+becomes+%5C%5C+%7B+%5Cfrac%7B%28+%7By%7D%5E%7B2%7D+%7D%7Bx%7D+%29%7D%5E%7B+4+%7D+%5C%5C+%5C%5C+the+%5C%3A+answer+%5C%3A+-+%5C%5C+%5Cfrac%7B+%7By%7D%5E%7B8%7D+%7D%7B%7Bx%7D%5E%7B4%7D+%7D "{( \sqrt[3]{ {x}^{4}y } \times \frac{1}{ \sqrt[3]{x {y}^{7} } } )}^{ - 4}) \\ \\ \sqrt[3]{ {x}^{4} y} \: \: \: can \: be \: written \: as \\ x \sqrt[3]{xy} \\ similiarly \\ \sqrt[3]{x {y}^{7} } \: can \: be \: written \: as \\ {y}^{2} \sqrt[3]{xy} \: \\ \: so \: the \: equation \: becomes \\ {(x \sqrt[3]{xy} \times \frac{1}{ {y}^{2} \sqrt[3]{xy} }) }^{ - 4} \\ \\ \sqrt[3]{xy} \: \: will \: get \: cancelled \\ {(x \times \frac{1}{ {y}^{2} } )}^{ - 4} \\ which \: becomes \\ { \frac{( {y}^{2} }{x} )}^{ 4 } \\ \\ the \: answer \: - \\ \frac{ {y}^{8} }{{x}^{4} }")
jiyasinha2004:
the answer is y^8/x^4
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