Answer
x=-$\frac{1}{8}$
Work Step by Step
You are given ($y^{-4}$$)^{x}$=$y^{1/2}$.Solve for X:
$y^{-4x}$=$y^{1/2}$ -multiply exponents when raising a power to a power and simplify-
-4x=$\frac{1}{2}$ -write as a non-exponential equation and divide both sides by -4-
$\frac{-4x}{-4}$=$\frac{{\frac{1}{2}}}{-4}$ -simplify-
x=-$\frac{1}{8}$
