Find the root. Assume that all variables represent nonnegative real numbers.
-$\sqrt [ 6 ] { x ^ { 48 } }$
A) $x ^ { 9 }$
B) $8 x$
C) $x ^ { 8 }$
D) $x ^ { 6 }$

Name: Find the root. Assume that all variables represent nonnegative real numbers. -$\sqrt [ 6 ] { x ^ { 48 } }$ A) $x ^ { 9 }$ B) $8 x$ C) $x ^ { 8 }$ D) $x ^ { 6 }$
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Question

Quizplus · Accepted Answer

To find the root, apply the rule for radicals: $\sqrt[n]{x^m} = x^{m/n}$. Here, $n = 6$ and $m = 48$, so $\sqrt[6]{x^{48}} = x^{48/6} = x^8$.

Find the Root x486\sqrt [ 6 ] { x ^ { 48 } }6x48​

Find the Root $\sqrt [ 6 ] { x ^ { 48 } }$