To find the numerical equivalent of the expression \( \frac{x^2}{x^5} \times x^3 \), we can simplify it step by step using the properties of exponents.
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Divide the exponents in \( \frac{x^2}{x^5} \): \[ \frac{x^2}{x^5} = x^{2 - 5} = x^{-3} \]
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Multiply by \( x^3 \): \[ x^{-3} \times x^3 = x^{-3 + 3} = x^{0} \]
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Use the property of exponents: \[ x^{0} = 1 \quad \text{(for any } x \neq 0\text{)} \]
Therefore, the overall simplification leads to: \[ \frac{x^2}{x^5} \times x^3 = 1 \]
Considering the options, the numerical equivalent is \( 1 \).
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