Question

rewriting rational expressions\\
\\(\frac{-4\left(z + 4\
ight)}{-3\left(z + 4\
ight)}\\)\\
choose an action to perform.\\
ways to rewrite expressions\\
apply exponent combine like terms\\
convert negative exponent distribute\\
factor common factor factor quadratic\\
perform multiplication rewrite division as multiplication\\
rewrite fractions rewrite signs\\
rewrite with lcd

Explanation:

Step1: Cancel common factor $(z+4)$

$\frac{-4\cancel{(z+4)}}{-3\cancel{(z+4)}} = \frac{-4}{-3}$

Step2: Simplify the sign

$\frac{-4}{-3} = \frac{4}{3}$

Answer:

$\frac{4}{3}$ (with the restriction $z
eq -4$ to avoid division by zero)

The appropriate action to perform first from the list is Factor Common Factor (to identify and cancel the shared $(z+4)$ term), followed by Rewrite Signs to simplify the negative fractions.