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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
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$\frac{\sqrt{-1271a^3}}{\sqrt{64x^9}}$
Learn how to solve factor problems step by step online. Factor the expression ((-1271a^3)/(64x^9))^1/2. 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}. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt{64}. 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}.