Answered

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Solve for y in:y^(-2/3)=9

Sagot :

devishri1977

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

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