How do you simplify $3(4/9)^(-3/2)$ ?

Question

1658 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-12T14:43:58

$81/8.$

$3(4/9)^(-3/2)$

$3{4^(-3/2)/9^(-3/2)},..........[because, (a/b)^m=a^m/b^m]$

$=3{(2^2)^(-3/2)/(3^2)^(-3/2)}$

$=3{2^(2*(-3/2))/3^(2*(-3/2))},...[because, (a^m)^n=a^(m*n)]$

$=3{2^(-3)/3^(-3)}$

$3{(1/2^3)/(1/3^3)},............[because, a^-m=(1/a^m)]$

$3{(1/8)-:(1/27)}$

$=3{1/8xx27}$

$=3(27/8)$

$=81/8.$

Enjoy Maths.!

How do you simplify 3(4/9)^(-3/2)3(4/9)^(-3/2)?