Find the root. Assume that all variables represent nonnegative real numbers.
-$\sqrt [ 11 ] { x ^ { 66 } }$
A) $\frac { x ^ { 6 } } { 11 }$
B) $6 x ^ { 6 }$
C) $x ^ { 6 }$
D) $\frac { 11 } { x ^ { 6 } }$

Question

Quizplus · Accepted Answer

To find the root, simplify the expression using the rule $\sqrt[n]{x^m} = x^{\frac{m}{n}}$. Here, $x^{66}$ under an 11th root gives $x^{\frac{66}{11}} = x^6$.

Find the Root x6611\sqrt [ 11 ] { x ^ { 66 } }11x66​

Find the Root $\sqrt [ 11 ] { x ^ { 66 } }$