Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)

Question

Quizplus · Accepted Answer

Property 1 for Radicals states that $\sqrt[n]{a^m} = a^\frac{m}{n}$. Applying this property to the given expression, we have:

$\sqrt[3]{\sqrt[4]{e^{11}c^8a^2b^4}} = (\sqrt[4]{e^{11}c^8a^2b^4})^\frac{1}{3} = (e^{11}c^8a^2b^4)^\frac{1}{12} = e^\frac{11}{12}c^\frac{2}{3}a^\frac{1}{6}b^\frac{1}{3}$

Thus, the simplified form of the expression is: 11ec08ab_f62b_37cf_ae58_b9fda58080eb_TBX8808_11, which is choice C.

Use Property 1 for Radicals to Write the Expression in Simplified