Question

find the reciprocal of the rational number {1/3}^-1 ÷ {4/5}^-3​

Answer 1

Answer:

125/192

Step-by-step explanation:

 (1/3)^-1 / (4/5)^-3

= [1/(1/3)] / [1/(4/5)³]

= 3 / (125/64)

= 3 * (64/125)

= 192/125

So, the reciprocal of ''192/125'' is ''125/192''.