Question

If `4^x= 7`, then what does `4^ (-2x)` equal?

Answer 1

If `4^x = 7` then `4^(-2x) = 1/49`

Explanation:

`4^x = 7`

`4^(-2x)`

`= 1/4^(2x)`

`= 1/[(4^x)^2]`

`= 1/(7)^2`

`= 1/49`