Question

$( \frac{3}{2} ) {}^{ - 1} \div (\frac{2}{3}) {}^{ \frac{1}{2} }$

Answer 1

$(\frac{3}{2})^{-1}\div(\frac{2}{3})^{\frac{1}{2}}=\\\\ =(\frac{3}{2})^{-1}.(\frac{3}{2})^{\frac{1}{2}}=\\\\ =(\frac{3}{2})^{-1+\frac{1}{2}}=\\\\ =(\frac{3}{2})^{\frac{-1}{2}}=\\\\ ou \\\\ =(\frac{2}{3})^{\frac{1}{2}}=\\\\ ou \\\\ =\sqrt{(\frac{2}{3})}=$