complete the question in copy with whole process
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i think this may help you
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krishna318:
good but light is dim
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Hello......... ^_^
Here is your answer......
![simplify \: \: {[ \: \sqrt[3]{ {x}^{4}y } \: \times \frac{1}{ \sqrt[3]{ {x {y}^{7} } } } \: \: ]}^{ - 4} \\ \\ \\ = > {[ \: \: \sqrt[3]{ \frac{ {x}^{4} y}{x {y}^{7} } } \: \: ] \: \: }^ { - 4} \\ \\ \\ = > {[ \: \: {( \frac{ {x}^{4}y }{x {y}^{7} } )}^{ \frac{1}{3} } \: \: ]}^{ - 4} \\ \\ \\ = > {[ \: \: ( { \frac{ {x}^{4 - 1} }{ {y}^{7 - 1} } \: ) \: }^{ \frac{1}{3} } \: \: \: ]}^{ - 4} \\ \\ \\ = > {[ \: \: \frac{ {x}^{3} }{ {y}^{6} } \: ]}^{ \frac{1}{3} \times - 4} \\ \\ \\ = > { \: [ \: \frac{ {x}^{3} }{ {y}^{6} } \: \: ]}^{ \frac{ - 4}{3} } \\ \\ \\ = > \frac{ {x}^{3 \times \frac{ - 4}{3} } }{ {y}^{6 \times \frac{ - 4}{3} } } \\ \\ \\ = > \frac{ {x}^{ - 4} }{ {y}^{ - 8} } \\ \\ \\ = > \frac{ {y}^{8} }{ {x}^{4} }](https://tex.z-dn.net/?f=simplify+%5C%3A++%5C%3A++%7B%5B+++%5C%3A++%5Csqrt%5B3%5D%7B+%7Bx%7D%5E%7B4%7Dy+%7D+%5C%3A++%5Ctimes++%5Cfrac%7B1%7D%7B+%5Csqrt%5B3%5D%7B+%7Bx+%7By%7D%5E%7B7%7D+%7D+%7D+%7D++++%5C%3A++%5C%3A+%5D%7D%5E%7B+-+4%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B++%7B%5B++%5C%3A++%5C%3A+%5Csqrt%5B3%5D%7B+%5Cfrac%7B+%7Bx%7D%5E%7B4%7D+y%7D%7Bx+%7By%7D%5E%7B7%7D+%7D+%7D+++%5C%3A++%5C%3A+%5D+%5C%3A++%5C%3A+%7D%5E+%7B+-+4%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B+++%7B%5B+%5C%3A++%5C%3A++%7B%28+%5Cfrac%7B+%7Bx%7D%5E%7B4%7Dy+%7D%7Bx+%7By%7D%5E%7B7%7D+%7D+%29%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D+%5C%3A++%5C%3A++%5D%7D%5E%7B+-+4%7D+%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B++%7B%5B+%5C%3A++%5C%3A+%28+%7B+%5Cfrac%7B+%7Bx%7D%5E%7B4+-+1%7D+%7D%7B+%7By%7D%5E%7B7+-+1%7D+%7D+%5C%3A+%29+%5C%3A+%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D+%7D++%5C%3A++%5C%3A++%5C%3A+%5D%7D%5E%7B+-+4%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B++%7B%5B+%5C%3A++%5C%3A++%5Cfrac%7B+%7Bx%7D%5E%7B3%7D+%7D%7B+%7By%7D%5E%7B6%7D+%7D+%5C%3A++%5D%7D%5E%7B+%5Cfrac%7B1%7D%7B3%7D++%5Ctimes++-+4%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B++%7B+%5C%3A+%5B++%5C%3A+%5Cfrac%7B+%7Bx%7D%5E%7B3%7D+%7D%7B+%7By%7D%5E%7B6%7D+%7D++%5C%3A++%5C%3A+%5D%7D%5E%7B+%5Cfrac%7B+-+4%7D%7B3%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cfrac%7B+%7Bx%7D%5E%7B3+%5Ctimes++%5Cfrac%7B+-+4%7D%7B3%7D+%7D+%7D%7B+%7By%7D%5E%7B6+%5Ctimes++%5Cfrac%7B+-+4%7D%7B3%7D+%7D+%7D++%5C%5C++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cfrac%7B+%7Bx%7D%5E%7B+-+4%7D+%7D%7B+%7By%7D%5E%7B+-+8%7D+%7D++%5C%5C++%5C%5C+++%5C%5C+%3D++%26gt%3B++%5Cfrac%7B+%7By%7D%5E%7B8%7D+%7D%7B+%7Bx%7D%5E%7B4%7D+%7D+ "simplify \: \: {[ \: \sqrt[3]{ {x}^{4}y } \: \times \frac{1}{ \sqrt[3]{ {x {y}^{7} } } } \: \: ]}^{ - 4} \\ \\ \\ = > {[ \: \: \sqrt[3]{ \frac{ {x}^{4} y}{x {y}^{7} } } \: \: ] \: \: }^ { - 4} \\ \\ \\ = > {[ \: \: {( \frac{ {x}^{4}y }{x {y}^{7} } )}^{ \frac{1}{3} } \: \: ]}^{ - 4} \\ \\ \\ = > {[ \: \: ( { \frac{ {x}^{4 - 1} }{ {y}^{7 - 1} } \: ) \: }^{ \frac{1}{3} } \: \: \: ]}^{ - 4} \\ \\ \\ = > {[ \: \: \frac{ {x}^{3} }{ {y}^{6} } \: ]}^{ \frac{1}{3} \times - 4} \\ \\ \\ = > { \: [ \: \frac{ {x}^{3} }{ {y}^{6} } \: \: ]}^{ \frac{ - 4}{3} } \\ \\ \\ = > \frac{ {x}^{3 \times \frac{ - 4}{3} } }{ {y}^{6 \times \frac{ - 4}{3} } } \\ \\ \\ = > \frac{ {x}^{ - 4} }{ {y}^{ - 8} } \\ \\ \\ = > \frac{ {y}^{8} }{ {x}^{4} }")
Hope it helps........... ^_^
Here is your answer......
Hope it helps........... ^_^
very ease to you as you answer the best and clearly
^_^
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