Exercise
$\sqrt[3]{-8}\cdot\sqrt[3]{x^6\cdot y^5}$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression (-8)^(1/3)(x^6y^5)^(1/3). Calculate the power \sqrt[3]{-8}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[3]{x^6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{1}{3}. Simplify \sqrt[3]{y^5} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{1}{3}.
Simplify the expression (-8)^(1/3)(x^6y^5)^(1/3)
Final answer to the exercise
$-2x^{2}\sqrt[3]{y^{5}}$