How do you simplify $\frac{2 x^{6}^m}{6 x^{2}^m}$ $(2x^6^m)/(6x^2^m)$ ?

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Answer 1 · 2015-07-01T22:06:38

$((x^4)/3)^m if x in RR-{0}, m in RR$

Step 1 : The domain of the function.

We have only one forbidden value, when $x=0$ . This is the only value where your denominator equal 0. And we can't divide by 0...

Therefore, the domain of our function is : $RR - {0}$ for $x$ and $RR$ for $m$ .

Step 2 : Factoring power m

$(2x^6 ^m)/(6x^2 ^m)$ <=> $(2x^6)^m/(6x^2)^m$ <=> $((2x^6)/(6x^2))^m$

Step 3 : Simplify the fraction

$((2x^6)/(6x^2))^m$ <=> $((x^6)/(3x^2))^m$ <=> $((x^4)/(3))^m$

Don't forget, $x !=0$

How do you simplify (2x^6^m)/(6x^2^m)2x6^m6x2^m(2x^6^m)/(6x^2^m)?