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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