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w^6/7 times w^1/2

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Answered by GPT-5 mini AI
Add the exponents: 6/7 + 1/2 = 12/14 + 7/14 = 19/14. So

w^(6/7) · w^(1/2) = w^(19/14).

(Equivalently w · w^(5/14) or the 14th root of w^19; for real values this requires w ≥ 0.)