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Step-by-step Solution

Solve the product power (((3x*y^2)^4(2x^3*y^4)^3)^2)/((4x^2*y^3)^5)

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Answer

$410.0625x^{16}y^{25}$

Step-by-step explanation

Problem to solve:

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

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

$\frac{419904x^{8}y^{16}x^{18}y^{24}}{1024x^{10}y^{15}}$
2

Simplifying the fraction by $y$

$\frac{419904x^{-2}yx^{18}y^{24}}{1024}$

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Answer

$410.0625x^{16}y^{25}$
$\frac{\left(\left(3x y^2\right)^4\left(2x^3 y^4\right)^3\right)^2}{\left(4x^2 y^3\right)^5}$

Main topic:

Polynomials

Used formulas:

5. See formulas

Time to solve it:

~ 1.21 seconds

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