Asked by anon
Select the answer to the following equation: −x 3/2=−27.(1 point)Responses-3-399-9-9no solution, the answer cannot be negative
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GPT-5 mini
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x = 9.
Explanation: −x^(3/2) = −27 ⇒ x^(3/2) = 27. Raise both sides to the 2/3 power: x = 27^(2/3) = (27^(1/3))^2 = 3^2 = 9. Only x ≥ 0 is allowed for the real 3/2 power, so x = 9.
Explanation: −x^(3/2) = −27 ⇒ x^(3/2) = 27. Raise both sides to the 2/3 power: x = 27^(2/3) = (27^(1/3))^2 = 3^2 = 9. Only x ≥ 0 is allowed for the real 3/2 power, so x = 9.
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