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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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$\frac{\sqrt[3]{-11251x^9}}{\sqrt[3]{215m^{12}}}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((-11251x^9)/(215m^12))^1/3. 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[3]{215}. Simplify \sqrt[3]{m^{12}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 12 and n equals \frac{1}{3}.