QuestionSimplify. $$\sqrt{v^{14}}$$
Assume that the variable represents a positive real number.

Studdy Solution
Use the power of a power property, which states that $(a^m)^n = a^{m \cdot n}$.
Apply this to the expression:
$$(v^{14})^{1/2} = v^{14 \cdot (1/2)} = v^{7}$$
The simplified expression is:
$$\boxed{v^7}$$