Question

Вычислить: (1/8*125^-1)^-1/3

Answer 1

$(\frac{1}{8}*125^{-1})^{-\frac{1}{3}} = 10$

1)$125^{-1} = \frac{1}{125}$

2)$\frac{1}{8} *\frac{1}{125} = \frac{1}{8*125} = \frac{1}{1000}$

3) $\frac{1}{1000}^{\frac{-1}{3}} = \sqrt[3]{\frac{1}{1000}^{-1} } =\sqrt[3]{1000} =10$