#z^(-1/4)=1/3#
#<=># First since #x^(-1)=1/x#, and #x^(ab)=(x^a)^b#
#z^((-1)(1/4))=(z^(1/4))^(-1)=1/z^(1/4)=1/3#
#<=>#
#1=z^(1/4)/3# multiply both sides by #z^(1/4)#
#<=>#
#3=z^(1/4)# multiply both sides by 3
#<=>#
#3^4=(z^(1/4))^4# raise both sides to the power of 4
#<=>#
#3^4=z#
#<=>#
#(3^2)^2=(3^2)(3^2)=9(9)=ul(81=z)#