How do you divide $(x^2/y^3)^4$ ?

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Answer 1 · 2015-07-28T16:45:57

No division is necessary. They are not the same terms.

Split the exponent $[((x^l)/(y^n))^m = (x^l)^m/(y^n)^m]$ :
$= (x^2)^4/(y^3)^4$

Apply the exponent $[(x^n)^m= x^(nm)]$ :
$= (x^(2*4))/(y^(3*4))$

Finish:
$= color(blue)((x^8)/(y^12))$

Normally we do not write negative exponents in our answers by convention, so that is our final answer.

How do you divide (x^2/y^3)^4(x^2/y^3)^4?