Question

Только 41)
Вычислите:
� � √2 5 3
�
30
40 .

Answer 1

$\frac{\:\left(\sqrt[3]{\sqrt[5]{2}}\right)^{30}}{\:40} =\\\left | \:\:\left(\sqrt[3]{\sqrt[5]{2}}\right)^{30} = \left(\left(\sqrt[5]{2}\right)^{\frac{1}{3}}\right)^{30} = \left(\sqrt[5]{2}\right)^{10}=(2^{\frac{1}{5}})^{10}=2^2=4 \right \\\\= \frac{4}{40} =\frac{1}{10} =0,1$