(-1/5) to the fourth power.
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
Your example means -\(\frac{1}{5}\) x -\(\frac{1}{5}\) x -\(\frac{1}{5}\) x -\(\frac{1}{5}\)
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 \(\frac{1}{625}\)
You can try it with decimals too. -\(\frac{1}{5} = -.2\)
-.2 x -.2 x-.2 x-.2 = .0016 = \(\frac{16}{1000} = \frac{1}{625}\)