Question

Please help me solve this problem I’m really stuck on!!! Please help right now!!!

Answer 1

$\frac{ ({x}^{1} {y}^{ \frac{1}{4} })^{2} }{ {x}^{ \frac{5}{4} } {y}^{ \frac{5}{8} } } \\ \frac{ {x}^{2} {y}^{ \frac{2}{4} } }{ {x}^{ \frac{5}{4} } {y}^{ \frac{5}{8} } } \\ \frac{ {x}^{2} {y}^{ \frac{1}{2} } }{ {x}^{ \frac{5}{4} } {y}^{ \frac{5}{8} } }$

You can distribute the exponent outside of the parentheses by multiplying it to the exponent in each term in the numerator

When dividing, subtract the exponent of the numerator by the exponent of the denominator for each variable

For x:

${x}^{2} - {x}^{ \frac{5}{4} } \\ {x}^{ \frac{3}{4} }$

For y:

${y}^{ \frac{1}{2} } - {y}^{ \frac{5}{8} } \\ {y}^{ \frac{ - 1}{8} } \\ \sqrt[8]{y}$

EDIT: y^(-1/8) is equal to 1 / (8 radical y)

Final answer:

$\frac{ {x}^{ \frac{3}{4} } }{ \sqrt[8]{y} }$