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\left(\sqrt[4]{32}\right)^{12}x=\sqrt{2}
The equation is in standard form.
\frac{\left(\sqrt[4]{32}\right)^{12}x}{\left(\sqrt[4]{32}\right)^{12}}=\frac{\sqrt{2}}{\left(\sqrt[4]{32}\right)^{12}}
Divide both sides by \left(\sqrt[4]{32}\right)^{12}.
x=\frac{\sqrt{2}}{\left(\sqrt[4]{32}\right)^{12}}
Dividing by \left(\sqrt[4]{32}\right)^{12} undoes the multiplication by \left(\sqrt[4]{32}\right)^{12}.
x=\frac{\sqrt{2}}{32768}
Divide \sqrt{2} by \left(\sqrt[4]{32}\right)^{12}.