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\frac{\left(\left(3x y^2\right)^4\left(2x^3 y^4\right)^3\right)^2}{\left(4x^2 y^3\right)^5}

Solve (((xy^2*3)^4(x^3y^4*2)^3)^2)/((x^2y^3*4)^5)

Answer

$\frac{419904y^{25}x^{26}}{1024x^{10}}$

Step-by-step explanation

Problem

$\frac{\left(\left(3x y^2\right)^4\left(2x^3 y^4\right)^3\right)^2}{\left(4x^2 y^3\right)^5}$
1

The power of a product is equal to the product of it's factors raised to the same power

$\frac{419904\left(\left(y^4\right)^3\right)^2\left(\left(y^2\right)^4\right)^2\left(\left(x^3\right)^3\right)^2x^{8}}{1024\left(y^3\right)^5\left(x^2\right)^5}$

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Answer

$\frac{419904y^{25}x^{26}}{1024x^{10}}$

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