Question

Please solve this question step by step

Answer 1

Answer:

${x}^{32} . {y}^{8}$

Step-by-step explanation:

$( { \frac{ {x}^{3} . {x}^{5} }{ {y}^{2}. {y}^{ - 4} }) }^{4} \\ = {( \frac{ {x}^{3 + 5} }{ {y}^{2 - 4} } )}^{4} \\ = {( \frac{ {x}^{8} }{ {y}^{ - 2} }) }^{4} \\ = {( {x}^{8}. {y}^{2} )}^{4} \\ = {x}^{8 \times 4} . {y}^{2 \times 4} \\ = {x}^{32} . {y}^{8}$