What is the correct simplification of 25 3/2 ?(1 point)

Responses

75
75

625
625

125
125

37.5

1 answer

To simplify \( 25^{3/2} \), you can break it down as follows:

  1. The exponent \( \frac{3}{2} \) means we take the square root (the denominator) and then raise to the power of 3 (the numerator).

  2. First, find the square root of 25: \[ \sqrt{25} = 5 \]

  3. Next, raise that result to the power of 3: \[ 5^3 = 125 \]

Thus, \( 25^{3/2} = 125 \).

The correct simplification is 125.

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