SOLUTION: 3x^4 ------ y all of this is in parentheses to the -3 power.

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Question 466785: 3x^4
------
y

all of this is in parentheses to the -3 power.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
there are 3 basic rules of exponentiation used to solve this.
the first one is:
x%5E%28-a%29+=+1%2Fx%5Ea
the second one is:
%28x%5Ea%2Ay%5Eb%29%5Ec+=+x%5E%28a%2Ac%29%2Ay%5E%28b%2Ac%29
the third one is:
1%2F%28a%2Fb%29+=+b%2Fa
you can apply the first rule first and then apply the second rule, or you can apply the second rule first and then apply the first rule.
your expression is:
%283x%5E4%2Fy%29%5E%28-3%29
applying the first rule first, your expression becomes:
%281%2F%28%283x%5E4%2Fy%29%5E3%29%29
applying the second rule next, your expression becomes:
1%2F%2827x%5E12%2Fy%5E3%29
applying the third rule next, your expression becomes:
y%5E3%2F27x%5E12
we'll go back and do it again and apply the second rule first
your expression is:
%283x%5E4%2Fy%29%5E%28-3%29
applying the second rule first, your expression becomes:
%283%5E%28-3%29%2Ax%5E%28-12%29%29%2Fy%5E%28-3%29
applying the first rule next, your expression becomes:
y%5E3%2F%283%5E3%2Ax%5E12%29
simplifying this, you get:
y%5E3%2F27x%5E12
you did not have to apply the third rule in this case.