Question

By which number should (-1/5)3 be

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

hope it helps

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Answer 2

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