Question

questão 39!!! simplifique as expressões!

Answer 1

39)

a)

${( \frac{ {a}^{2} b}{c} )}^{3}. {( \frac{c}{ {a}^{3} } )}^{2}. {( \frac{1}{b} )}^{ - 2} \\ = \frac{ \cancel{{a}^{6}} {b}^{3} }{ \cancel{{c}^{3}} }. \frac{\cancel{ {c}^{2}} }{ \cancel{{a}^{6}} } . {b}^{2}$

$= \mathsf{\dfrac{ { b}^{5} }{c}}$

b)

${( \frac{x {y}^{2} }{2})}^{4} . {( \frac{ {x}^{2} y}{4} )}^{ - 2} = \frac{ \cancel{{x}^{4}} {y}^{8} }{\cancel{16}} . \frac{\cancel{16}}{ \cancel{{x}^{4}} {y}^{2} } = {y}^{6}$