Question

Resiprocal of (-3/7)^2!​

Answer 1

`(49)/(9)`

Explanation:

Given

`((-3)/(7))^(2!)`

Required

Determine the reciprocal

If a number is x, the reciprocal is: 1/x

So, the reciprocal of
`((-3)/(7))^(2!)` is:

`(1)/(((-3)/(7))^(2!))`

`2! = 2*1 =2`

So, we have:

`(1)/(((-3)/(7))^(2))`

`(1)/(((-3^(2))/(7^(2))))`

Evaluate all exponents

`(1)/(((9)/(49)))`

Take inverse of 9/49

`(49)/(9)`

Hence, the reciprocal of
`((-3)/(7))^(2!)` is
`(49)/(9)`