Step-by-step Solution

Simplify the quotient of powers $\frac{\left(\left(3xy^2\right)^4\left(2x^3y^4\right)^3\right)^2}{\left(4x^2y^3\right)^5}$

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Step-by-step Solution

Problem to solve:

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

Solving method

Learn how to solve quotient of powers problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers (((3x*y^2)^4(2x^3*y^4)^3)^2)/((4x^2*y^3)^5). The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\frac{6561}{16}y^{25}x^{16}$
$\frac{\left(\left(3x y^2\right)^4\left(2x^3 y^4\right)^3\right)^2}{\left(4x^2 y^3\right)^5}$

Main topic:

Quotient of powers

Time to solve it:

~ 0.1 s