What is \sqrt[5]{(x^{15}z^5)/(y^{50)}} ?

The solution to \sqrt[5]{(x^{15}z^5)/(y^{50)}} is (x^3z)/(y^{10)}

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simplify \sqrt[5]{(x^{15}z^5)/(y^{50)}}

simplify

\frac{x ^{3} z}{y ^{10}}

Solution steps

Apply radical rule:

assuming

a \geq 0, b \geq 0

Simplify

= \frac{x ^{3} z}{y ^{10}}

1 \frac{2}{3} \cdot 1 \frac{2}{3}

\frac{a ^{2} - 1}{a + 1}

\frac{6}{4 x} + \frac{3}{2 x}

(x^{2} + \frac{1}{x ^{3}})^{10}

(4 b^{2} c)^{3}

What is \sqrt[5]{(x^{15}z^5)/(y^{50)}} ?
The solution to \sqrt[5]{(x^{15}z^5)/(y^{50)}} is (x^3z)/(y^{10)}