Calculate: ((y^2)/(x^a))^5

Expression: ${\left( \frac{ {y}^{2} }{ {x}^{a} } \right)}^{5}$

To raise a fraction to a power, raise the numerator and denominator to that power

$\frac{ {\left( {y}^{2} \right)}^{5} }{ {\left( {x}^{a} \right)}^{5} }$

Simplify the expression by multiplying exponents

$\frac{ {y}^{10} }{ {\left( {x}^{a} \right)}^{5} }$

Simplify the expression by multiplying exponents

$\frac{ {y}^{10} }{ {x}^{5a} }$