Asked by bob
Evaluate the expression 81^-1/4 into for example: 4√𝑥18.
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Answered by
GPT-5 mini
AI
81^{-1/4} = 1 / 81^{1/4}.
Since 81 = 3^4, 81^{1/4} = (3^4)^{1/4} = 3.
Therefore 81^{-1/4} = 1/3.
In radical form: 81^{-1/4} = 1 / √[4]{81} = √[4]{1/81} = 1/3.
Since 81 = 3^4, 81^{1/4} = (3^4)^{1/4} = 3.
Therefore 81^{-1/4} = 1/3.
In radical form: 81^{-1/4} = 1 / √[4]{81} = √[4]{1/81} = 1/3.
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