Simplify 8(Xy^2)^3/4xy^5

Simplify 8(Xy^2)^3/4xy^5

Simplify 8(xy^2)^3/4xy^5

Answer:

$2x^{2} y$

Step-by-step explanation:

First, simplify the numerator or the $8(xy^{2} )^{3}$

Apply the $(x^{a} )^{b} =x^{ab}$
$8(x^{3}y^{6})$

$8x^{3} y^{6}$

We have a new fraction and it is $\frac{8x^{3} y^{6} }{4xy^{5} }$

Now lets divide,

Apply the $\frac{x^{a} }{x^{b} } = x^{a-b}$

$2x^{2} y$

So the answer is: $2x^{2} y$

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