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Question 3 : The value of 0.04^{log√5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))} is __________.

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0.04^{log√5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))}

= \\frac{1}{25})^{log√5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))}

= \\frac{1}{5^{2}})^{log√5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))}

= 5^{-2 × log√5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))}

= 5^{-2 × \\frac{1}{2}) × log5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))}

= 5^{-1 × log5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))}

= 5^{-1 × log5(\\frac{7}{16}))}

= 5^{log5(\\frac{16}{7}))}

= \\frac{16}{7})

The question is **" The value of 0.04 ^{log√5(\\frac{1}{4}) + \\frac{1}{8}) + \\frac{1}{16}))} is __________. " **

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