To simplify \( 25^{3/2} \), you can break it down as follows:
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The exponent \( \frac{3}{2} \) means we take the square root (the denominator) and then raise to the power of 3 (the numerator).
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First, find the square root of 25: \[ \sqrt{25} = 5 \]
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Next, raise that result to the power of 3: \[ 5^3 = 125 \]
Thus, \( 25^{3/2} = 125 \).
The correct simplification is 125.