Question

expressions with negative and zero exponents
me that variables are not zero.)
\\(\dfrac{2}{14z^{-1}}\\)

Explanation:

Step1: Rewrite negative exponent

Recall $z^{-1}=\frac{1}{z}$, so substitute:
$\frac{2}{14z^{-1}} = \frac{2}{14 \cdot \frac{1}{z}}$

Step2: Simplify complex fraction

Dividing by a fraction is multiplying by reciprocal:
$\frac{2}{14 \cdot \frac{1}{z}} = \frac{2z}{14}$

Step3: Reduce the fraction

Simplify $\frac{2}{14}$ to $\frac{1}{7}$:
$\frac{2z}{14} = \frac{z}{7}$

Answer:

$\frac{z}{7}$