Solve 0.5=x*{0.5}^frac{1{4}}

$$0.5=x \times { 0.5 }^{ \frac{ 1 }{ 4 } }$$

Solve for x

$$x=\frac{\sqrt[4]{2}}{2}\approx 0.594603558$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$x\times 0.5^{\frac{1}{4}}=0.5$$

Reorder the terms.

$$\sqrt[4]{0.5}x=0.5$$

Divide both sides by \sqrt[4]{0.5}.

$$\frac{\sqrt[4]{0.5}x}{\sqrt[4]{0.5}}=\frac{0.5}{\sqrt[4]{0.5}}$$

Dividing by \sqrt[4]{0.5} undoes the multiplication by \sqrt[4]{0.5}.

$$x=\frac{0.5}{\sqrt[4]{0.5}}$$

Divide 0.5 by \sqrt[4]{0.5}.

$$x=\frac{1}{2^{\frac{3}{4}}}$$