Exercise
$\sqrt[4]{32t^8w^{10}}$
Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power (32t^8w^10)^(1/4). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[4]{t^8} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 8 and n equals \frac{1}{4}. Simplify \sqrt[4]{w^{10}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{1}{4}. Multiply the fraction and term in 8\cdot \left(\frac{1}{4}\right).
Solve the product power (32t^8w^10)^(1/4)
Final answer to the exercise
$\sqrt[4]{32}t^{2}\sqrt{w^{5}}$