#### Answer

$\sqrt [5] {a^{2}b^{4}c}$

#### Work Step by Step

Step 1: According to the text, the denominator of the exponent becomes the radical’s index. The numerator, on the other hand, remains the exponent of the variable.
Step 2: Therefore, $(a^{2}b^{4}c)^{\frac{1}{5}}=\sqrt [5] {a^{2}b^{4}c}$.