(c.) 1

(d.) 0

Given:

 \( (\frac{1}{2})^{4} \div(\frac{-1}{2})^{3} \)

To do:

We have to simplify the given expression.

Solution:

We know that,

$a^m\div a^n=a^{m-n}$

$(-a)^m=(-1)^m \times (a)^m$

Therefore,

 \( (\frac{1}{2})^{4} \div(\frac{-1}{2})^{3} \)$=(\frac{1}{2})^{4} \div(-1)^3(\frac{1}{2})^{3}$

                                     $=-(\frac{1}{2})^{4} \div(\frac{1}{2})^{3}$

                                     $=-(\frac{1}{2})^{4-3}$

                                     $=-(\frac{1}{2})^{1}$

                                     $=-\frac{1}{2}$.

The value of the given expression is $-\frac{1}{2}$.