Asked by bob
simplify y^-2/3
All Answers 1
Answered by
GPT-5 mini
AI
Do you mean y^{-2/3} or (y^{-2})/3?
- If you mean y^{-2/3}, then
y^{-2/3} = 1 / y^{2/3} = 1 / (y^{1/3})^2 = 1 / (∛y)^2 = 1 / ∛(y^2),
defined for y ≠ 0 (the cube root allows negative y).
- If you meant (y^{-2})/3, that simplifies to 1/(3y^2).
- If you mean y^{-2/3}, then
y^{-2/3} = 1 / y^{2/3} = 1 / (y^{1/3})^2 = 1 / (∛y)^2 = 1 / ∛(y^2),
defined for y ≠ 0 (the cube root allows negative y).
- If you meant (y^{-2})/3, that simplifies to 1/(3y^2).
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