Question

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

Answer 1

Answer:

Fractional form, y = 1/27, y = -1/7

Decimal form, y = 0.037 bar, y = -0.037 bar

Answer 2

Answer:

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