Question

Rewrite the following without an exponent
(2/7) -2

Answer 1

Given
`( (2)/(7))^(-2)`

Applying the index law
`( (x)/(y) )^m= (x^m)/(y^m)`

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

Applying the index law
`x^(-m)= (1)/(x^m)`

`(7^2)/(2^2)`

Calculating gives
`(49)/(4)`