Learn how to solve equivalent expressions problems step by step online. Simplify the expression x^9^(1/2)^(1/2)^(1/3)(x^2(x^3x^(1/2))^(1/2))^(1/3). Simplify \sqrt[3]{\sqrt{\sqrt{x^9}}} 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}{3}. Simplify \left(\sqrt{x^9}\right)^{\frac{1}{2}\cdot \frac{1}{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}\cdot \frac{1}{3}. Simplify \left(x^9\right)^{\left(\frac{1}{2}\right)^2\cdot \frac{1}{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9 and n equals \left(\frac{1}{2}\right)^2\cdot \frac{1}{3}. Calculate the power \left(\frac{1}{2}\right)^2.

Simplify the expression x^9^(1/2)^(1/2)^(1/3)(x^2(x^3x^(1/2))^(1/2))^(1/3)