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The power of a product is equal to the product of it's factors raised to the same power
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$\frac{x^2y^3}{\sqrt{2}\sqrt{x^5}\sqrt{y^7}}$
Learn how to solve problems step by step online. Simplify the quotient of powers (x^2y^3)/((2x^5y^7)^1/2). The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power \sqrt{2}. Simplify \sqrt{x^5} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{1}{2}.