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solve for u, where u is a real number. $u^{\\frac{1}{4}} = -5$ if there…

Question

solve for u, where u is a real number.
$u^{\frac{1}{4}} = -5$
if there is more than one solution, separate them with commas.
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o solution\.
$u = \square$

Explanation:

Step1: Rewrite exponent as root

$u^{\frac{1}{4}} = \sqrt[4]{u}$, so $\sqrt[4]{u} = -5$

Step2: Analyze real number root property

For any real number $u$, the 4th root $\sqrt[4]{u}$ is non-negative (since even-index roots of real numbers cannot be negative).

Answer:

No solution