Question

by what number should (-1/5)-3 be divided to get quotient as (16/25 ) -2​

Answer 1

Answer:

Step-by-step explanation:

Given by what number should (-1/5)^-3 be divided to get quotient as (16/25)^ -2

We can write the equation as

According to question, let unknown number be x

(-1/5)^-3 / x = (16/25)^-2  

(-1)^-3 / 5^-3 x 1/x = 16^-2 / 25^-2

(-1)^-3 /5^-3x = 16^-2/25^-2

x = (-1)^-3 x 5^2^-2 / 2^4^-2 x 5^-3

x = (-1)^-3 x 5^-4 x 5^3 / 2^-8

x = 2^8 / (-1)^3 x 5

x = - 256 / 5