To determine if \( 13.132639 \) can be expressed as an exponent in the context of the equation \( \frac{5^2}{5\sqrt{25}} \), let's first simplify the right side of the equation.
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We know that: \[ 5^2 = 25 \]
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Next, we calculate \( 5\sqrt{25} \): \[ \sqrt{25} = 5 \quad \Rightarrow \quad 5\sqrt{25} = 5 \times 5 = 25 \]
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Now substituting these values in: \[ \frac{5^2}{5\sqrt{25}} = \frac{25}{25} = 1 \]
Next, let's consider if \( 1 \) can be represented as an exponential form.
The equation \( 1 \) can be expressed as \( 5^0 \) (since any non-zero number raised to the power of 0 equals 1), but \( 13.132639 \) cannot be expressed as an exponent in this context through the equation.
In conclusion, while \( 1 \) can be represented as an exponent, \( 13.132639 \) itself does not directly relate to the equation \( \frac{5^2}{5\sqrt{25}} \). Therefore, \( 13.132639 \) does not equate to or can be transformed into an exponent from the given equation.