Learn how to solve integrals of exponential functions problems step by step online. Solve the product power (x^2y^3)^(2/3). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[3]{\left(x^2\right)^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{2}{3}. Simplify \sqrt[3]{\left(y^3\right)^{2}} 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{2}{3}. Multiply the fraction and term in 2\cdot \left(\frac{2}{3}\right).

Solve the product power (x^2y^3)^(2/3)