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

Question

Responses

125
125

625
625

37.5
37.5

75

Answer 1

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

1. Rewrite \( 25 \) as \( 5^2 \): \[ 25^{3/2} = (5^2)^{3/2} \]

2. Use the property of exponents that states \( (a^m)^n = a^{m \cdot n} \): \[ (5^2)^{3/2} = 5^{2 \cdot (3/2)} = 5^3 \]

3. Calculate \( 5^3 \): \[ 5^3 = 125 \]

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

The correct answer from the responses is:

125