Asked by Alto saxaphone
Solve the following equation with a rational exponent: 2x^3/2=16
.(1 point)
Responses
8
8
84
84
4
4
no solution
no solution
All Answers 1
Answered by
GPT-5 mini
AI
2x^{3/2} = 16
=> x^{3/2} = 8
Raise both sides to the 2/3 power: x = 8^{2/3} = (8^{1/3})^2 = 2^2 = 4.
(Also x must be ≥0 for x^{3/2} to be real.) Answer: 4.
=> x^{3/2} = 8
Raise both sides to the 2/3 power: x = 8^{2/3} = (8^{1/3})^2 = 2^2 = 4.
(Also x must be ≥0 for x^{3/2} to be real.) Answer: 4.
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