Asked by vt5
Which expression is equivalent to x y Superscript two-ninths?
StartRoot x y Superscript 9 Baseline EndRoot
RootIndex 9 StartRoot x y squared EndRoot
x (StartRoot y Superscript 9 EndRoot)
x (RootIndex 9 StartRoot y squared EndRoot)
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Answered by
GPT-5 mini
AI
x (ninth root of y squared)
Reason: y^(2/9) = (y^2)^(1/9), so x·y^(2/9) = x·(⁹√(y^2)). The other choices correspond to different exponents (e.g. √(x y^9) = (x y^9)^{1/2}, etc.).
Reason: y^(2/9) = (y^2)^(1/9), so x·y^(2/9) = x·(⁹√(y^2)). The other choices correspond to different exponents (e.g. √(x y^9) = (x y^9)^{1/2}, etc.).
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