How do you simplify $(\frac { 3} { 5} ) ^ { 3} \cdot ( \frac { 3} { 4} ) ^ { - 2} \cdot ( - \frac { 5} { 4} ) ^ { 4}$ ?

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Answer 1 · 2017-10-05T04:19:33

$15/16$

$=3^3*5^-3*3^2*4^-2*(-5)^4*(-4)^-4$
$3*5*4^-6=15/16$

Aliter :
$=(3^3*3^-2*(-5)^4)/(5^3*4^-2*(-4)^4)$
= $(3^(3-2)*5^(-3+4))/4^(-2+4)=(3*5)/4^2=15/16$

How do you simplify (\frac { 3} { 5} ) ^ { 3} \cdot ( \frac { 3} { 4} ) ^ { - 2} \cdot ( - \frac { 5} { 4} ) ^ { 4} (\frac { 3} { 5} ) ^ { 3} \cdot ( \frac { 3} { 4} ) ^ { - 2} \cdot ( - \frac { 5} { 4} ) ^ { 4} ?