Asked by .
Solve the following equation with a rational exponent: 2x32=16
.(1 point)
Responses
4
4
8
8
no solution
no solution
84
84
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the equation as 2·x^(3/2) = 16.
Divide both sides by 2: x^(3/2) = 8.
Raise both sides to the 2/3 power: x = 8^(2/3) = (2^3)^(2/3) = 2^2 = 4.
(Also x≥0 is required for x^(3/2); x=4 is valid.)
Answer: 4.
Divide both sides by 2: x^(3/2) = 8.
Raise both sides to the 2/3 power: x = 8^(2/3) = (2^3)^(2/3) = 2^2 = 4.
(Also x≥0 is required for x^(3/2); x=4 is valid.)
Answer: 4.
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