Question

(-1/5) to the fourth power.

Answer 1

Your example means -
`(1)/(5)` x -
`(1)/(5)` x -
`(1)/(5)` x -
`(1)/(5)`

Four negatives will make a positive -1 x-1 x -1 x-1 = 1
and 5 x 5 x 5 x 5 = 625
The answer is
`(1)/(625)`

You can try it with decimals too. -
`(1)/(5) = -.2`
-.2 x -.2 x-.2 x-.2 = .0016 =
`(16)/(1000) = (1)/(625)`

Answer 2

Even though you have a negative number you know it will end up being postive because a negative times a negative will always be a positive. You have a 4 for the power which is even and that means your number is positive

What this equation is in long for is...
(1/5)*(1/5)*(1/5)*(1/5) or .2 *.2 *.2 *.2

So your final answer is 0.0016