Question

$\sqrt[3]{ - \frac{1}{27} } + 2 \sqrt[4]{ \frac{1}{256} } - 3 \sqrt[5]{ \frac{1}{1024} }$
Вычислите. Напишите решение и ответ​

Answer 1

$\displaystyle\bf\\\sqrt[3]{-\frac{1}{27} } +2\sqrt[4]{\frac{1}{256} } -3\sqrt[5]{\frac{1}{1024} } =\sqrt[3]{\Big(-\frac{1}{3} \Big)^{3} } +2\sqrt[4]{\Big(\frac{1}{4} \Big)^{4} }-3\sqrt[5]{\Big(\frac{1}{4}\Big)^{5}} =\\\\\\=-\frac{1}{3} +2\cdot\frac{1}{4} -3\cdot\frac{1}{4}=-\frac{1}{3}-\frac{1}{4} =-\frac{7}{12}$