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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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$y=\frac{\sqrt[3]{\left(5x+1\right)\left(x+2\right)^2}}{\sqrt[3]{\left(x^3+6\right)\left(x+7\right)}}$
Learn how to solve rational equations problems step by step online. Solve the rational equation y=(((5x+1)(x+2)^2)/((x^3+6)(x+7)))^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. Simplify \sqrt[3]{\left(x+2\right)^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}. Multiply 2 times \frac{1}{3}.