Respuesta :

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
bobeld
Your example means -[tex] \frac{1}{5} [/tex]  x  -[tex] \frac{1}{5} [/tex]  x  -[tex] \frac{1}{5} [/tex]  x  -[tex] \frac{1}{5} [/tex]

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 [tex] \frac{1}{625} [/tex]

You can try it with decimals too.   -[tex] \frac{1}{5} = -.2[/tex]
-.2 x -.2 x-.2 x-.2 = .0016  = [tex] \frac{16}{1000} = \frac{1}{625} [/tex]