Simplify the power of a power $\sqrt{\sqrt[3]{x^{20}y^{30}}}$

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Learn how to solve powers of powers problems step by step online. Simplify the power of a power (x^20y^30)^(1/3)^(1/2). Simplify \sqrt{\sqrt[3]{x^{20}y^{30}}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{3} and n equals \frac{1}{2}. Multiplying fractions \frac{1}{3} \times \frac{1}{2}. Multiply 3 times 2. The power of a product is equal to the product of it's factors raised to the same power.