Question

Не понял варианты B и C

Answer 1

$\sqrt[4]{25}\cdot \sqrt{125}=\sqrt[4]{25}\cdot \sqrt{25\cdot 5}=5\sqrt[4]{25}\cdot \sqrt{5}=5\cdot 25^{1/4}\cdot \sqrt{5}=\\=5\cdot 25^{1/2\cdot 1/2}\cdot \sqrt{5}=5\cdot \left ( 25^{1/2} \right )^{1/2}\cdot \sqrt{5}=5\cdot \left ( \sqrt{25} \right )^{1/2}\cdot \sqrt{5}=\\=5\cdot 5^{1/2}\cdot \sqrt{5}=5\cdot \sqrt{5}\cdot \sqrt{5}=5\cdot 5=25$

$\lg^4100=\left (\lg100 \right )^4=\left ( \lg 10^2 \right )^4=2^4=16$

Answer 2

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