Question

simplifique la siguiente expresión (2/3)2 (1/2)3 (9/5)/ (1/2)-2 (3/2)-1

Answer 1

$\dfrac{ (\frac{2}{3})^3*( \frac{1}{2})^3* \frac{9}{5} }{(\frac{1}{2})^{-2}*( \frac{3}{2}) ^{-1} } = \\ \\ \\ \dfrac{ (\frac{8}{27})*( \frac{1}{8})* \frac{9}{5} }{(\frac{2}{1})^{2}*( \frac{2}{3}) ^{1} } = \ si \ hay \ exponente \ negativo\ se \ invierte\ el \ n\'umero\\ \\ \\ \dfrac{ (\frac{8*1*9}{27*8*5})}{(4)*( \frac{2}{3}) } = \\ \\ \\ \dfrac{ (\frac{1}{3*5})}{( \frac{4*2}{3}) } = \dfrac{ (\frac{1}{15})}{( \frac{8}{3}) } = \frac{1}{15} : \frac{8}{3}= \frac{15*8}{3}= \boxed{40}$

Espero que te sirva, salu2!!!!