Domain

Algebra Level pending

If domain of function \(3^y+2^{x^4}=2^{{4x^2-1}}\) can be expressed as :

( \(-\dfrac{\sqrt{\dfrac{a}{2}}+1}{\sqrt{2b}}\text{ , }-\sqrt{2c-\sqrt{3d}}\) ) U ( \(\sqrt{e-\sqrt{f}} \text{ , } \dfrac{\sqrt{g}+1}{\sqrt{h}}\) )

Find \(a\times{b}\times{c}\times{d}\times{e}\times{f}\times{g}\times{h}\)

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