#(x^(-4/7))^7# what is the simplest form?

1 Answer
David G.
Apr 9, 2018

If I have marked-up the question correctly (I had to guess a bit), then the simplest form is either #1/(x^4)# or #x^(-4)#, depending on which you think is simpler.

Explanation:

When we raise an expression with an index to the power of another index, we multiply the indices, so #(x^a)^b =x^(axxb)=x^(ab)#.

In this case, #(x^(-4/7))^7=x^((-4/7xx7))=x^(-4)#.

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