Question

Determine o valor da expressão (3/2)^-1 dividido por (2/3)^1/2

Answer 1

$\boxed{\frac{(\frac{3}{2})^{-1}}{(\frac{2}{3})^{\frac{1}{2}}}=\frac{\frac{2}{3}}{(\frac{2}{3})^{\frac{1}{2}}}=(\frac{2}{3})^{1-\frac{1}{2}}=(\frac{2}{3})^{\frac{1}{2}}=\sqrt{\frac{2}{3}}}$