QuestionSimplify $\sqrt[4]{x^{24}}$ for $x>0$ .

Studdy Solution

STEP 1

Assumptions1. The given variable $x$ is positive. . We are asked to simplify the expression $\sqrt[4]{x^{24}}$ .

STEP 2

The given expression is a fourth root. We can rewrite this as a power of $\frac{1}{4}$ .
$\sqrt[4]{x^{24}} = x^{24 \cdot \frac{1}{4}}$

STEP 3

Multiply the exponents.
$x^{24 \cdot \frac{1}{}} = x^6$ The simplified form of $\sqrt[]{x^{24}}$ is $x^6$ .

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