[tex]Answer:\ S=96\sqrt[4]{x^9}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\(4x)^\frac{3}{2}=\\\\ (2^2x)^\frac{3}{2} =\\\(2^2)^\frac{3}{2} x^\frac{3}{2} =\\\\2^\frac{2*3}{2} x^\frac{3}{2} \\\\2^3x^\frac{3}{2}=\\\\8x^\frac{3}{2}[/tex]
Thus,
[tex]S=8x^\frac{3}{2} *12x^\frac{3}{4}\\\\ S=8*12x^{\frac{3}{2} +\frac{3}{4}} \\\\S=96x^\frac{3*2+3}{4} \\\\S=96x^\frac{6+3}{4} \\\\S=96x^\frac{9}{4} \\\\S=96\sqrt[4]{x^9}[/tex]
