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QUESTION IMAGE

simplify. \\(\\frac{y^{3} z^{6}}{y^{4} z^{5}}\\)

Question

simplify.
\\(\frac{y^{3} z^{6}}{y^{4} z^{5}}\\)

Explanation:

Step1: Split into variable fractions

$\frac{y^3}{y^4} \times \frac{z^6}{z^5}$

Step2: Apply exponent subtraction rule

For $y$: $y^{3-4} = y^{-1} = \frac{1}{y}$
For $z$: $z^{6-5} = z^{1} = z$

Step3: Multiply simplified terms

$\frac{1}{y} \times z$

Answer:

$\frac{z}{y}$