Exercise
$\sqrt[5]{\frac{128}{243}\cdot y^5}$
Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power (128/243y^5)^(1/5). The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt[5]{\frac{128}{243}}. Simplify \sqrt[5]{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}{5}. Multiply the fraction and term in 5\cdot \left(\frac{1}{5}\right).
Solve the product power (128/243y^5)^(1/5)
Final answer to the exercise
$\frac{\sqrt[5]{128}y}{3}$