Question

simplify.
\\(\frac{y^{4} z^{2}}{y^{3} z^{6}}\\)

Explanation:

Step1: Simplify \( y \)-terms

Use exponent rule \( \frac{a^m}{a^n}=a^{m - n} \). For \( y \): \( \frac{y^4}{y^3}=y^{4 - 3}=y^1 = y \).

Step2: Simplify \( z \)-terms

For \( z \): \( \frac{z^2}{z^6}=z^{2 - 6}=z^{-4}=\frac{1}{z^4} \).

Step3: Combine results

Multiply the simplified \( y \)-term and \( z \)-term: \( y\times\frac{1}{z^4}=\frac{y}{z^4} \).

Answer:

\(\frac{y}{z^4}\)