Simplify. Assume that the variables are positive. $\sqrt { x ^ { 8 } }$
A) $4 \sqrt { x ^ { 4 } }$
B) $x ^ { 4 }$
C) $x ^ { 6 }$
D) $4 x$
E) $4 \sqrt { x }$

Name: Simplify. Assume that the variables are positive. $\sqrt { x ^ { 8 } }$ A) $4 \sqrt { x ^ { 4 } }$ B) $x ^ { 4 }$ C) $x ^ { 6 }$ D) $4 x$ E) $4 \sqrt { x }$
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Question

Quizplus · Accepted Answer

Using the property of radicals, $\sqrt{x^8}=(x^8)^{1/2}=x^{8\cdot 1/2}=x^4$. Choice B is the simplest form.

Simplify Assume That the Variables Are Positive x8\sqrt { x ^ { 8 } }x8​

Simplify Assume That the Variables Are Positive $\sqrt { x ^ { 8 } }$