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

Solve for y in:y^(-2/3)=9 - id23914048953, lizzishungry

Ответ:

ebzloera

04.09.2021

Mathematics

y = 1/27

Step-by-step explanation:

$y^{\frac{-2}{3}} = 9\\$

Cube both sides

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

$y^{2}=\frac{1}{27^{2}}\\\\y^{2}=(\frac{1}{27})^{2}\\$

y = 1/27

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Ответ:

HernanJe6

22.04.2020

Mathematics

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

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

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