Question Number 204690 by Davidtim last updated on 25/Feb/24
$$\sqrt[{{p}}]{{a}^{{x}} \boldsymbol{\div}\sqrt[{{q}}]{{b}^{{y}} \boldsymbol{\div}\sqrt[{{r}}]{{c}^{{z}} }}}=? \\ $$
Answered by A5T last updated on 25/Feb/24
$$\left(\frac{{a}^{{x}} }{\left(\frac{{b}^{{y}} }{{c}^{\frac{{z}}{{r}}} }\right)^{\frac{\mathrm{1}}{{q}}} }\right)^{\frac{\mathrm{1}}{{p}}} =\frac{{a}^{\frac{{x}}{{p}}} }{\frac{{b}^{\frac{{y}}{{q}}} }{{c}^{\frac{{z}}{{rq}}} }}=\frac{{a}^{\frac{{x}}{{p}}} {c}^{\frac{{z}}{{rq}}} }{{b}^{\frac{{y}}{{q}}} } \\ $$