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

Question

Responses

75
75

625
625

125
125

37.5

Answer 1

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.