Question

$\frac{a \frac{11}{20} }{ \sqrt[5]{ \frac{1}{32} \sqrt[4]{a} } }$
​при а=1.44

Answer 1

Ответ:

$2.4$

Объяснение:

$\frac{a^{\frac{11}{20}}}{\sqrt[5]{\frac{1}{32}\sqrt[4]{a}}}=\frac{a^{\frac{10}{20}+\frac{1}{20}}}{\sqrt[5]{\frac{1}{32}}*\sqrt[5]{\sqrt[4]{a}}}=\frac{a^{\frac{10}{20}}*a^{\frac{1}{20}}}{\sqrt[5]{(\frac{1}{2})^{5}}*((a)^{\frac{1}{4}})^{\frac{1}{5}}}=\frac{a^{\frac{1}{2}}*a^{\frac{1}{20}}}{\frac{1}{2}*a^{\frac{1}{20}}}=2\sqrt{a};$

$a=1.44;$

$2\sqrt{1.44}=2*1.2=2.4;$