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The value of    $((\log_{2}{9})^{2})^{\frac{1}{\log_{2}{}(\log_{2}{9})}\times\frac{1}{(\sqrt{7})^{\log_{4}{7}}}}$  is............

Answer:

Explanation:

$((\log_{2}{9})^{2})^{\frac{1}{\log_{2}{}(\log_{2}{9})}\times\frac{1}{(\sqrt{7})^{\log_{4}{7}}}}$

   =   $(\log_{2}{9}^{})^{\frac{2\log_{}{2}}{\log_{2}{9}}\times}7^{\frac{1}{2}\log_{7}{4}}$

   =   $(\log_{2}{9})^{\log_{\log_{}{2}}{9}_{}^{2^{2}}}\times 7^{\log_{7}{2}}$

     = 2²× 2=8