What is \sqrt[3]{(64x^6y^3)/(729x^3y^6)} ?

The solution to \sqrt[3]{(64x^6y^3)/(729x^3y^6)} is (4x)/(9y)

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simplify \sqrt[3]{(64x^6y^3)/(729x^3y^6)}

simplify

\frac{4 x}{9 y}

Solution steps

Cancel

\frac{64 x ^{6} y ^{3}}{729 x ^{3} y ^{6}} : \frac{64 x ^{3}}{729 y ^{3}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Simplify

= \frac{4 x}{9 y}

\frac{k + 3}{4 k - 2} \cdot (12 k^{2} + 2 k - 4)

(x + 4) (2 x - 3)

2 sin (4 θ) cos (4 θ)

What is \sqrt[3]{(64x^6y^3)/(729x^3y^6)} ?
The solution to \sqrt[3]{(64x^6y^3)/(729x^3y^6)} is (4x)/(9y)