Final Answer
$\frac{y^{17}}{\sqrt[3]{x^{16}}}$
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Step-by-step Solution
Problem to solve:
$\frac{\left(x^{\left(-1\right)\cdot\frac{1}{5}} y^{\frac{3}{2}}\right)^{10}}{\left(y^{\left(-1\right)\cdot\frac{2}{5}} x^{\frac{2}{3}}\right)^5}$
Choose the solving method
1
Divide $3$ by $2$
$\frac{\left(x^{-\frac{1}{5}}\sqrt{y^{3}}\right)^{10}}{\left(y^{-\frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}$
Learn how to solve quotient of powers problems step by step online.
$\frac{\left(x^{-\frac{1}{5}}\sqrt{y^{3}}\right)^{10}}{\left(y^{-\frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}$
Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((x^(-0.2)y^(3/2))^10)/((y^(-0.4)x^0.6666666666666666)^5). Divide 3 by 2. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction \frac{x^{-2}y^{15}}{y^{-2}\sqrt[3]{x^{10}}} by y.
Final Answer
$\frac{y^{17}}{\sqrt[3]{x^{16}}}$