Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.