Question

1. \\(\frac{4x^{0}y^{-2}z^{3}}{4x}\\)

Explanation:

Step1: Simplify coefficient and $x^0$

Any non-zero number to the 0 power is 1, so $x^0=1$. Divide the coefficients: $\frac{4}{4}=1$.
Expression: $\frac{1 \cdot 1 \cdot y^{-2} z^3}{x}$

Step2: Rewrite negative exponent

A negative exponent moves the term to the denominator: $y^{-2}=\frac{1}{y^2}$.
Expression: $\frac{z^3}{x y^2}$

Step3: Combine simplified terms

Combine the remaining factors into a single fraction.
Expression: $\frac{z^3}{x y^2}$

Answer:

$\frac{z^3}{x y^2}$