Simplify assume all variables are positive

z^-3/4 divided by z^-11/5
write your answer in the form A or A/B, where A and B are constants or varible expressions that have no variables in common all exponents in your answer should be positive

z^-3/4 / z^-11/5 = z^-3/4 * z^-5/11 = z^-15/44 = 1/z^15/44 = 1/(z^15 * z^1/44) = 1/z^15 * z^-1/44 = z^-1/44 / z^15 = z^-1/44-15 = z^-1/59

Therefore, the simplified form of z^-3/4 divided by z^-11/5 is 1/z^1/59 or simply 1/z1/59.