Question

calcule:
a) $(\frac{ \sqrt{3} }{2})^{3}$
b)$2^{2}. 3^{3}$

Answer 1

$(\frac{\sqrt3}{2})^3=\frac{\sqrt3}{2}\cdot\frac{\sqrt3}{2}\cdot\frac{\sqrt3}{2}=\frac34\cdot\frac{\sqrt3}{2}=\frac{3\sqrt3}{8}$

$2^2\cdot3^3=2\cdot2\cdot3\cdot3\cdot3=4\cdot3\cdot9=12\cdot9=108$