Exercise
$\sqrt[3]{875x^5y^9}$
Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power (875x^5y^9)^(1/3). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[3]{x^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 \sqrt[3]{y^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}{3}. Multiply the fraction and term in 5\cdot \left(\frac{1}{3}\right).
Solve the product power (875x^5y^9)^(1/3)
Final answer to the exercise
$\sqrt[3]{875}\sqrt[3]{x^{5}}y^{3}$