It looks like you're listing various exponent rules and properties of exponents, but there are a few typographical errors and formatting issues in your text. Here’s a clearer and corrected version:
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Product Rule: \[ a^m \times a^n = a^{m+n} \]
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Quotient Rule: \[ \frac{a^m}{a^n} = a^{m-n} \]
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Power of a Power Rule: \[ (a^m)^n = a^{m \cdot n} \]
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Power of a Product Rule: \[ (ab)^m = a^m \times b^m \]
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Power of a Quotient Rule: \[ \left( \frac{a}{b} \right)^m = \frac{a^m}{b^m} \]
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Zero Exponent Rule: \[ a^0 = 1 \quad \text{(for } a \neq 0\text{)} \]
Let me know if you need any further information or explanations on these rules!