Question

4^(-x)=1/256
I believe it is x=4, but I need how to work it out pls thxxx

Answer 1

x = 4

Explanation:

using the rule of exponents

•
`a^(-m)` =
`(1)/(a^(m) )` , then

`4^(-x)` =
`(1)/(4^(x) )`

and 256 =
`4^(4)`

then

`(1)/(4^(x) )` =
`(1)/(4^(4) )`

so

`4^(x)` =
`4^(4)`

since bases on both sides are equal, bot 4 then equate exponents

x = 4