Questions: Simplify. z^3 y^6 / z^5 y^6

Simplify. z^3 y^6 / z^5 y^6
Transcript text: Simplify. \[ \frac{z^{3} y^{6}}{z^{5} y^{6}} \]
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Solution

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Solution Steps

Step 1: Simplify the exponents of \( z \)

\[ \frac{z^{3}}{z^{5}} = z^{3-5} = z^{-2} \]

Step 2: Simplify the exponents of \( y \)

\[ \frac{y^{6}}{y^{6}} = y^{6-6} = y^{0} = 1 \]

Step 3: Combine the simplified terms

\[ z^{-2} \cdot 1 = \frac{1}{z^{2}} \]

Final Answer

\(\boxed{\frac{1}{z^{2}}}\)

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