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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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$\sqrt{1000}\sqrt{x^9}\sqrt{y^{18}}$
Learn how to solve problems step by step online. Solve the product power (1000x^9y^18)^(1/2). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{x^9} 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 \frac{1}{2}. Simplify \sqrt{y^{18}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 18 and n equals \frac{1}{2}. Multiply the fraction and term in 9\cdot \left(\frac{1}{2}\right).
