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Expand the properties of exponents to involve MONOMIAL bases with integer exponents to simplify the expression -25 eggs when a small eight on top of the X and that’s over 5X would the answer be negative 5X with the small seven or negative 5X with a small nine or 5X with a small seven or negative 5X with a small eight on the top

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To simplify the expression \(-25 \cdot x^8\) over \(5 \cdot x\), we can apply the properties of exponents and simplify step by step.

  1. Divide the coefficients: \[ -25 \div 5 = -5 \]

  2. Use the property of exponents: When dividing like bases, subtract the exponents: \[ \frac{x^8}{x} = x^{8-1} = x^7 \]

  3. Combine the results: \[ -5 \cdot x^7 \]

Thus, the simplified expression is: \[ -5x^7 \]

So the correct option is negative 5X with a small seven.