2*3^1/2*1.5^1/3*12^1/62x^-1/3 * (1/2x^1/3 - 2x^-2/3)

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2*3^1/2*1.5^1/3*12^1/62x^-1/3 * (1/2x^1/3 - 2x^-2/3)

2*3^1/2*1.5^1/3*12^1/62x^-1/3 * (1/2x^1/3 - 2x^-2/3)
2*3^1/2*1.5^1/3*12^1/6
2x^-1/3 * (1/2x^1/3 - 2x^-2/3)

2*3^1/2*1.5^1/3*12^1/62x^-1/3 * (1/2x^1/3 - 2x^-2/3)
2*3^1/2*1.5^1/3*12^1/6
=(2*3^3*1.5^2*12)^1/6
=(2*27*9/4*12)^1/6
=(2*27*27)^1/6
=3*2^1/6
2x^-1/3 * (1/2x^1/3 - 2x^-2/3)
=2x^-1/3 * 1/2x^1/3 - 2x^-1/3*2x^-2/3
=1-4/x

2*3^1/2*1.5^1/3*12^1/6
=2*3^1/2*(3/2)^1/3*(3*4)^1/6
=2*3^1/2*3^1/3*3^1/6*4^1/6/(2^1/3)
=2*3^(1/2+1/3+1/6)*2^(1/3-1/3)
=2*3^1*2^0
=2*3*1
=6
2x^-1/3 * (1/2x^1/3 - 2x^-2/3)
=(2x^-1/3)*(1/2x^1/3)-(2x^-1/3)*(2x^-2/3)
=1-4x^-1
=1-4/x