Simplify the expression and the answer must be with positive exponents # ((m^(1/3) n^(1/2))^-6 (m^(1/5) n^(1/8))^-20)/ (m^(1/3)n)# ?

1 Answer
Mar 10, 2017

# ((m^(1/3) n^(1/2))^-6 (m^(1/5) n^(1/8))^-20)/ (m^(1/3)n)#

#= ((m^(-1/3xx6) n^(-1/2xx6)) (m^(-1/5xx20) n^(-1/8xx20)))/ (m^(1/3)n)#

#= ((m^(-2) n^(-3)) (m^(-4) n^(-5/2)))/ (m^(1/3)n)#

#=1/ ( m^2 n^3m^4 n^(5/2)m^(1/3)n)#

#=1/ ( m^(2+4+1/3) n^(3+5/2+1))#

#=1/ ( m^(18/3) n^(13/2))#