Пошаговое объяснение:
№6
(64*x⁻⁶)⁻²/³=(4³*x⁻⁶)⁻²/³=4³*⁽⁻²/³⁾*x⁻⁶*⁽⁻²/³⁾=4⁻²*x⁴=x⁴/4²=x⁴/16.
№7
⁵√(y⁴*√(y⁻³))/y¹/⁶=⁵√(y⁴*y⁻³/²)/y¹/⁶=⁵√y⁽⁴⁻⁽³/²⁾⁾/y¹/⁶=⁵√y⁵/²/y¹/⁶=
=y¹/²/y¹/⁶=y⁽⁽¹/²⁾⁻⁽¹/⁶⁾⁾=y¹/³=∛y.
![\displaystyle\dfrac{\sqrt[5]{y^4\sqrt{y^{-3}} }}{y^\frac{1}{6}} =y^\frac{4}{5} y^{-\frac{3}{10} }y^{-\frac{1}{6}}=y^\frac{24-9-5}{30} =y^\frac{10}{30}=y^\frac{1}{3} =\sqrt[3]{y\\ } \\ \\](/tpl/images/1012/9716/a0d60.png)
