Exercise
$\sqrt[5]{128t^{17}w^{15}}$
Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power (128t^17w^15)^(1/5). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[5]{t^{17}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 17 and n equals \frac{1}{5}. Simplify \sqrt[5]{w^{15}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 15 and n equals \frac{1}{5}. Multiply the fraction and term in 17\cdot \left(\frac{1}{5}\right).
Solve the product power (128t^17w^15)^(1/5)
Final answer to the exercise
$\sqrt[5]{128}\sqrt[5]{t^{17}}w^{3}$