QuestionSimplify: $$\sqrt[4]{14 k^{3}} \cdot \sqrt[4]{8 k^{5}}$$. Choose the correct option: a, b, c, or d.

Studdy Solution
Now, apply the property of roots that states $\sqrt[n]{a^{m}} = a^{m/n}$.
$$\sqrt[4]{2^{4} \cdot7 \cdot (k^{2})^{4}} =2 \cdot k^{2} \cdot \sqrt[4]{7}$$So, the simplified form of the given expression is $2 k^{2} \sqrt[4]{7}$.