How do you simplify $(x^6)^3 / (x^3)^4$ ?

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Answer 1 · 2018-05-06T12:43:11

$color(purple)(=> x^6$

$(x^6)^3 / (x^3)^4$

![https://www.youtube.com/watch?v=ARLS2TmFT94]( useruploads.socratic.org )
$=> (x)^(6 * 3) / (x)^(3 * 4), " as " (a^m)^n = (a)^(mn)$

$=> x^(18) / x^(12)$

$=> x^ (18 -12) " as " a^m / a^n = a^(m-n)$

$color(purple)(=> x^6$

How do you simplify (x^6)^3 / (x^3)^4 (x^6)^3 / (x^3)^4?