Learn how to solve equivalent expressions problems step by step online. Simplify the expression ((a^3b^9)/(c^6))^(1/3). The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify \sqrt[3]{c^6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{1}{3}. Multiply the fraction and term in 6\cdot \left(\frac{1}{3}\right). Divide 6 by 3.

Simplify the expression ((a^3b^9)/(c^6))^(1/3)