Find the value. $$\sqrt [ 0 ] { - 1 }$$

Name: Find the value. \[\sqrt [ 0 ] { - 1 }\]
Brand: Quizplus
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Question

Quizplus · Accepted Answer

This question is asking for the 0th root of -1, which does not make mathematical sense unless we use limits. Taking the limit as the index approaches 0, we get $\sqrt [ 0 ] { - 1 }=\lim_{n	o0}(-1)^{1/n}$. Since the exponent approaches infinity as n approaches 0, we have $\lim_{n	o0}(-1)^{1/n} = -1$. Therefore, the answer is D) -1.

Find the Value −10\sqrt [ 0 ] { - 1 }0−1​

Find the Value $\sqrt [ 0 ] { - 1 }$