Question

Find the reciprocal of (7/5)^-2​

Answer 1

Explanation:

`\rightsquigarrow`
`\tt{((7)/(5))^(-2) }` ⠀

`\rightsquigarrow`
`\tt{(1)/(((7)/(5))^2) }` ⠀

so,

`\rightsquigarrow`
`\tt{(1)/((49)/(35)) }` ⠀

`\rightsquigarrow`
`\tt{(35)/(49) }` ⠀

reciprocal:-

`\hookrightarrow`
`\tt{(49)/(35 ) }` ⠀

Answer 2

(5/7)^(-2)

Explanation:

`((7)/(5))^(-2) =(7^(-2))/(5^(-2))`

Reciprocal =
`(5^(-2))/(7^(-2)) = ((5)/(7))^(-2)`