SOLUTION: Please help Simplify {{{(6x^7/2x^2)^-4}}}

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Question 317821: Please help Simplify
%286x%5E7%2F2x%5E2%29%5E-4
Answer by itiffydn(3) About Me  (Show Source):
You can put this solution on YOUR website!
%286x%5E7%2F2x%5E2%29%5E-4
There are many ways to simplify this. I think it would be easier to simplify the inside fraction first, as then you would be working with smaller numbers.
Remember, you simplify numbers separate from pronumerals.
= %283x%5E7%2Fx%5E2%29%5E-4%29
Note that when you cancel out the x%5E2, the answer is 1, not 0
= %283x%5E5%2F1%29%5E-4
A negative indice means you find the reciprocal of the fraction. In other words, to remove the negative from the indice, flip the fraction.
= %281%2F3x%5E5%29%5E4
= 1%2F81x%5E20