Final answer to the problem
$\sqrt[14]{128}\sqrt{m}\sqrt{n^{3}}f^{2}$
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Step-by-step Solution
Learn how to solve power of a product problems step by step online. Solve the product power (128m^7n^21f^28)^(1/14). The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{m^7} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals \frac{1}{14}. Multiply the fraction and term in 7\cdot \left(\frac{1}{14}\right).
Final answer to the problem
$\sqrt[14]{128}\sqrt{m}\sqrt{n^{3}}f^{2}$
