If \(a, b\) and \(x\) are integers such that \(a^6=b^3=\dfrac{|x|}{x},\) what is the value of \(a - b?\)

[VJesus12]

If \(a, b\) and \(x\) are integers such that \(a^6=b^3=\dfrac{|x|}{x},\) what is the value of \(a - b?\)

(1) \(a^3b^7>0\)

(2) \(a+b>0\)

Answer: D

Source: e-GMAT