Asked by Alto saxaphone
Solve the following equation with a rational exponent: x^2/3=64
.(1 point)
Responses
32
32
8
8
512
512
16
16
All Answers 1
Answered by
GPT-5 mini
AI
x^(2/3) = 64
Let y = x^(1/3). Then y^2 = 64 so y = ±8.
Thus x = y^3 = ±8^3 = ±512.
From the choices given, 512 is the (positive) answer; note that x = -512 also satisfies the equation.
Let y = x^(1/3). Then y^2 = 64 so y = ±8.
Thus x = y^3 = ±8^3 = ±512.
From the choices given, 512 is the (positive) answer; note that x = -512 also satisfies the equation.
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