Rewrite the expression as a product of identical factors to simplify 125 2/3

Question

. Submit your answer in simplified form. (1 point)
Remaining Attempts : 3

Answer 1

To rewrite the expression \(125^{2/3}\) as a product of identical factors, we can follow these steps:

1. First, recognize that \(125\) can be expressed as a power. Specifically, \(125 = 5^3\).

2. Now, substitute this into the expression:

   \[ 125^{2/3} = (5^3)^{2/3} \]

3. When raising a power to a power, we multiply the exponents:

   \[ (5^3)^{2/3} = 5^{3 \cdot \frac{2}{3}} = 5^2 \]

4. Finally, we simplify \(5^2\):

   \[ 5^2 = 25 \]

Thus, the expression \(125^{2/3}\) simplified is:

\[ \boxed{25} \]