Questions: Use the quotient rule to simplify. z^4 / z^2 z^4 / z^2 = □

Use the quotient rule to simplify. z^4 / z^2 z^4 / z^2 = □
Transcript text: Use the quotient rule to simplify. \[ \begin{array}{c} \frac{z^{4}}{z^{2}} \\ \frac{z^{4}}{z^{2}}=\square \end{array} \]
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Solution

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Solution Steps

To simplify the given expression using the quotient rule, we subtract the exponent of the denominator from the exponent of the numerator.

Step 1: Identify the Expression

We start with the expression \( \frac{z^{4}}{z^{2}} \).

Step 2: Apply the Quotient Rule

Using the quotient rule for exponents, we simplify the expression by subtracting the exponent of the denominator from the exponent of the numerator: \[ z^{4 - 2} = z^{2} \]

Final Answer

The simplified expression is \( \boxed{z^{2}} \).

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