What is (5x^2y^3z)^{1/3} ?

The solution to (5x^2y^3z)^{1/3} is 5^{1/3}x^{2/3}yz^{1/3}

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simplify (5x^2y^3z)^{1/3}

simplify

(5 x^{2} y^{3} z)^{\frac{1}{3}}

5^{\frac{1}{3}} x^{\frac{2}{3}} y z^{\frac{1}{3}}

Solution steps

(5 x^{2} y^{3} z)^{\frac{1}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 x^{2} y^{3} z)^{\frac{1}{3}} = 5^{\frac{1}{3}} (x^{2})^{\frac{1}{3}} (y^{3})^{\frac{1}{3}} z^{\frac{1}{3}}

= 5^{\frac{1}{3}} (x^{2})^{\frac{1}{3}} (y^{3})^{\frac{1}{3}} z^{\frac{1}{3}}

Simplify

(x^{2})^{\frac{1}{3}} : x^{\frac{2}{3}}

= 5^{\frac{1}{3}} x^{\frac{2}{3}} (y^{3})^{\frac{1}{3}} z^{\frac{1}{3}}

Simplify

(y^{3})^{\frac{1}{3}} : y

= 5^{\frac{1}{3}} x^{\frac{2}{3}} y z^{\frac{1}{3}}

\frac{- 1}{9}

e^{9 l n (x)}

\frac{5}{2 x - 12} - \frac{20}{x ^{2} - 4 x - 12}

2 \times 1 0^{8}

\frac{3}{7} - \frac{2}{9}

What is (5x^2y^3z)^{1/3} ?
The solution to (5x^2y^3z)^{1/3} is 5^{1/3}x^{2/3}yz^{1/3}