Answer:
y = 1/27
Step-by-step explanation:
[tex]y^{\frac{-2}{3}} = 9\\[/tex]
Cube both sides
[tex](y^{\frac{-2}{3}})^{3}=9^{3}\\\\y^{\frac{-2}{3}*3}=9*9*9\\\\y^{-2}=729\\\\\frac{1}{y^{2}}=729\\\\1=729*y^{2}\\\\\frac{1}{729}=y^{2}\\[/tex]
[tex]y^{2}=\frac{1}{27^{2}}\\\\y^{2}=(\frac{1}{27})^{2}\\[/tex]
y = 1/27
