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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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$\frac{\sqrt{125}\sqrt{x^{11}}}{y^9}$
Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((125x^11)^1/2)/(y^9). The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt{125}. Simplify \sqrt{x^{11}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 11 and n equals \frac{1}{2}. Multiply 11 times \frac{1}{2}.