Impara online a risolvere i problemi di passo dopo passo. (((x^2y^3^(1/2))^(1/5))/((x^2y)^(1/3)))^(1/2). Simplify \sqrt{y^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{2}. Applicare la formula: \left(ab\right)^n=a^nb^n. Applicare la formula: \frac{a^m}{a^n}=a^{\left(m-n\right)}, dove a^n=\sqrt[3]{y}, a^m=y^{\frac{3}{2}\cdot \frac{1}{5}}, a=y, a^m/a^n=\frac{\sqrt[5]{x^{2}}y^{\frac{3}{2}\cdot \frac{1}{5}}}{\sqrt[3]{x^{2}}\sqrt[3]{y}}, m=\frac{3}{2}\cdot \frac{1}{5} e n=\frac{1}{3}. Applicare la formula: \frac{a^m}{a^n}=\frac{1}{a^{\left(n-m\right)}}, dove a=x, m=\frac{2}{5} e n=\frac{2}{3}.

(((x^2y^3^(1/2))^(1/5))/((x^2y)^(1/3)))^(1/2)