Question

Me ajudem?
Exercício 6 - a), b), e c) por favor.
50 pontos :)

Answer 1

Gunih,
 Ajudo com duas
   
a)
                  $(\frac{xy}{ x^{-1} y^3} )^2( \frac{y}{x^3} - \frac{y^2}{x^4)} \\ \\ =( \frac{x ^{1+1} }{y^{3-1} })^2( \frac{xy-y^2}{x^4}) \\ \\ = \frac{x^4}{y^4}.[ \frac{y(x-y)}{x^4}] \\ \\ = \frac{x-y}{y^3}$

b)
                  $\frac{ 2^{ \frac{3}{2} } }{ (3x)^{ \frac{1}{2} } } \sqrt{ \frac{27x}{32} } \\ \\ = \frac{ 2^{ \frac{3}{2} } }{( 3x)^{ \frac{1}{2} } } . \frac{3}{4} \frac{(3x) ^{ \frac{1}{2} } }{ 2^{ \frac{1}{2} } } \\ \\ =\frac{3}{4} . 2^{ \frac{3}{2}- \frac{1}{2} } . (3x) ^{ \frac{1}{2} - \frac{1}{2} } \\ \\ = \frac{3}{4} . 2^{ \frac{2}{2} } \\ \\ = \frac{3}{2}$