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

asked Sep 18, 2022 135k views

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6 votes

Answer:

y = 1/27

Explanation:

$y^{(-2)/(3)} = 9\\$

Cube both sides

$(y^{(-2)/(3)})^(3)=9^(3)\\\\y^{(-2)/(3)*3}=9*9*9\\\\y^(-2)=729\\\\(1)/(y^(2))=729\\\\1=729*y^(2)\\\\(1)/(729)=y^(2)\\$

$y^(2)=(1)/(27^(2))\\\\y^(2)=((1)/(27))^(2)\\$

y = 1/27

Rinktacular answered Sep 23, 2022

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