Question

$simplify \frac{81}{36}power -3/4*(25/9) power-3/2/(5/2)power-3$

Answer 1

(81/36)^(-3/4).(25/9)^(-3/2)/(5/2)^(-3)

=(9/4)^(-3/4) .(5²/3²)^(-3/2)/(5/2)^(-3)

=(3²/2²)^(-3/4).(5/3)^(-3)/(5/2)^(-3)

=(3/2)^(-3/2).(5/3)^(-3)/(5/2)^(-3)

=(3/2)^(-3/2).(5/3/5/2)^(-3)

=(3/2)^(-3/2).(2/3)^(-3)

=(3/2)^(-3/2).(3/2)^(3)

=(3/2)^(3/2)