What is the correct simplification of 25^3/2

?(1 point)
Responses

75
75

125
125

37.5
37.5

625

1 answer

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

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

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

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

The correct simplification of \( 25^{3/2} \) is \( 125 \).