Exercise
$\sqrt[3]{\frac{1}{3}\sqrt{3x^3y^2\sqrt[4]{\frac{2}{5}a^2x^3y}}}$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Solve the product power (1/3(3x^3y^2(2/5a^2x^3y)^(1/4))^(1/2))^(1/3). The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base we can add the exponents. When multiplying exponents with same base we can add the exponents. Simplify the addition 3+\frac{3}{4}.
Solve the product power (1/3(3x^3y^2(2/5a^2x^3y)^(1/4))^(1/2))^(1/3)
Final answer to the exercise
$\frac{\sqrt[6]{3}\sqrt[8]{x^{5}}\sqrt[8]{y^{3}}\sqrt[12]{a}}{\sqrt[3]{3}}$