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

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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.!