Final answer to the problem
$\sqrt[12]{y^{5}}\sqrt[12]{x^{31}}\sqrt[12]{z}$
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Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power (x^10z^2((y^8)/(x^9y^3z^7))^(1/4))^(1/3). Simplify the fraction \frac{y^8}{x^9y^3z^7} by y. The power of a product is equal to the product of it's factors raised to the same power. Multiplying fractions \frac{1}{4} \times \frac{1}{3}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.
Final answer to the problem
$\sqrt[12]{y^{5}}\sqrt[12]{x^{31}}\sqrt[12]{z}$
