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Question
solve for u, where u is a real number.
$u^{\frac{1}{4}} = -5$
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o solution\.
$u = \square$
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).
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