Step-by-step Solution
Problem to solve:
$\frac{\left(x^{\left(-1\right)\cdot\frac{1}{5}} y^{\frac{3}{2}}\right)^{10}}{\left(y^{\left(-1\right)\cdot\frac{2}{5}} x^{\frac{2}{3}}\right)^5}$
Solving method
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. Applying the power of a power property.
Final Answer
$\frac{y^{17}}{\sqrt[3]{x^{16}}}$