1 Answer

KSletmoe · Answer 1 · 2020-07-09T07:25:34+0000

Answer:

The simplified form is:
$(1)/(2)x^{(1)/(4)}y^{-(1)/(6)}$ or
$\frac{x^{(1)/(4)}}{2y^{(1)/(6)}}$

Explanation:

So we need to find the simplified form of:

$\frac{2x^{(1)/(2)}y^{(2)/(3)}}{4x^{(1)/(4)}y^{(5)/(6)}}$

We know that:

(a^m)/(a^n) = a^(m-n)

Then:

$(2)/(4)x^{(1)/(2) - (1)/(4) }y^{(2)/(3)-(5)/(6)}$

Simplifien the expression:

$(1)/(2)x^{(1)/(4)}y^{-(1)/(6)}$

So, the simplified form is:

$(1)/(2)x^{(1)/(4)}y^{-(1)/(6)}$ or
$\frac{x^{(1)/(4)}}{2y^{(1)/(6)}}$

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