Question

simplify.
\\(\frac{20y^{4}z^{2}}{15y^{2}z^{2}}\\)

Explanation:

Step1: Simplify the numerical coefficients

$\frac{20}{15} = \frac{4}{3}$

Step2: Simplify the $y$-terms using exponent rules

$\frac{y^4}{y^2} = y^{4-2} = y^2$

Step3: Simplify the $z$-terms using exponent rules

$\frac{z^2}{z^2} = z^{2-2} = z^0 = 1$

Step4: Multiply the simplified parts

$\frac{4}{3} \times y^2 \times 1$

Answer:

$\frac{4}{3}y^2$