What is \sqrt[3]{(54x^2y^4)/(2x^5y)} ?

The solution to \sqrt[3]{(54x^2y^4)/(2x^5y)} is (3y)/x

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simplify \sqrt[3]{(54x^2y^4)/(2x^5y)}

simplify

\frac{3 y}{x}

Solution steps

Cancel

\frac{54 x ^{2} y ^{4}}{2 x ^{5} y} : \frac{27 y ^{3}}{x ^{3}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Simplify

Apply radical rule:

n

is odd

= \frac{3 y}{x}

3 x^{2} + 6 x - 10 = 0

(n - 9) (n - 10) = 90

2 + \frac{5}{9} x > x - 2

∣ 3 x ∣ > 24

- \frac{1}{2} (- 5)

What is \sqrt[3]{(54x^2y^4)/(2x^5y)} ?
The solution to \sqrt[3]{(54x^2y^4)/(2x^5y)} is (3y)/x