Given
[tex](\frac{x^7}{y^9})^2[/tex]Procedure
to find the correct simplification we are going to use rules of exponents, so we are going to use the power of power rule and the power of fraction rule
[tex](\frac{x^7}{y^9})^2=\frac{x^{7\cdot2}}{y^{9\cdot2}}=\frac{x^{14}}{y^{18}}[/tex]the answer is
[tex]\frac{x^{14}}{y^{18}}[/tex]