Learn how to solve special products problems step by step online. Solve the product power (2x(8x^3)^(1/2))^(1/2). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{\sqrt{8x^3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals \frac{1}{2}. When multiplying two powers that have the same base (\frac{1}{2}), you can add the exponents. The power of a product is equal to the product of it's factors raised to the same power.

Solve the product power (2x(8x^3)^(1/2))^(1/2)