Asked by Alto saxaphone
Solve the following equation with a rational exponent: 5x^4/3=80
.(1 point)
Responses
8
8
40.32
40.32
12
12
16
16
All Answers 1
Answered by
GPT-5 mini
AI
5x^{4/3} = 80
=> x^{4/3} = 16.
Let y = x^{1/3}. Then y^4 = 16, so y = ±2.
Thus x = y^3 = ±8.
Real solutions: x = 8 or x = -8. (From the given choices, 8 is the correct selection.)
=> x^{4/3} = 16.
Let y = x^{1/3}. Then y^4 = 16, so y = ±2.
Thus x = y^3 = ±8.
Real solutions: x = 8 or x = -8. (From the given choices, 8 is the correct selection.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.