Exercise
$\sqrt[4]{x^2y^2z^2}$
Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power (x^2y^2z^2)^(1/4). The power of a product is equal to the product of it's factors raised to the same power. . Simplify \sqrt[4]{x^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}{4}. Multiply the fraction and term in 2\cdot \left(\frac{1}{4}\right).
Solve the product power (x^2y^2z^2)^(1/4)
Final answer to the exercise
$\sqrt{x}\sqrt{y}\sqrt{z}$