Answer
$-2$
Work Step by Step
An exponent of $3$ for $-\frac{1}{2}$ means $-\frac{1}{2}$ will be multiplied three times.
An exponent of $4$ for $2$ means $2$ will be multiplied four times.
Thus, simplifying the given expression gives:
$=(-\frac{1}{2})(-\frac {1}{2})(-\frac{1}{2}) \cdot 2(2)(2)(2)$
Multiply two factors at a time to obtain:
$\\=\frac{1}{4}(-\frac{1}{2}) \cdot 4(2)(2)
\\=-\frac{1}{8} \cdot 8(2)
\\=-\frac{1}{8} \cdot 16
\\=-\frac{16}{8}
\\=-2$
