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

Question

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

Explanation:

Step1: Split into variable fractions

$\frac{y^3}{y^5} \cdot \frac{z^6}{z^6}$

Step2: Simplify $y$-terms via exponent rule

$\frac{y^3}{y^5} = y^{3-5} = y^{-2} = \frac{1}{y^2}$

Step3: Simplify $z$-terms via exponent rule

$\frac{z^6}{z^6} = z^{6-6} = z^0 = 1$

Step4: Multiply the simplified terms

$\frac{1}{y^2} \cdot 1$

Answer:

$\frac{1}{y^2}$