Question

simplify.
$\frac{16y^{4}z}{28y^{3}z}$

Explanation:

Step1: Simplify the numerical coefficients

Find the greatest common divisor of 16 and 28, which is 4. Divide both by 4:
$\frac{16}{28} = \frac{4}{7}$

Step2: Simplify the $y$ terms

Use exponent rule $\frac{y^a}{y^b}=y^{a-b}$:
$\frac{y^4}{y^3}=y^{4-3}=y$

Step3: Simplify the $z$ terms

Use exponent rule $\frac{z^a}{z^b}=z^{a-b}$:
$\frac{z}{z}=z^{1-1}=z^0=1$

Step4: Combine all simplified parts

Multiply the results from Steps 1-3:
$\frac{4}{7} \times y \times 1$

Answer:

$\frac{4y}{7}$