Question

Using the properties of exponents, which of the following is an equivalent expression for 25√/25 1/2
?(1 point)
Responses

Answer 1

It seems there was a formatting issue with your question. However, I believe you meant to ask for the equivalent expression of \( \frac{25}{25^{1/2}} \).

To simplify this expression using the properties of exponents, we can rewrite it as follows:

1. Recognize that \( 25 = 25^1 \).
2. The expression then becomes:
\[
\frac{25^1}{25^{1/2}}
\]
3. Using the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \), we can simplify it:
\[
25^{1 - \frac{1}{2}} = 25^{\frac{1}{2}}
\]

4. Lastly, \( 25^{1/2} \) is the square root of 25:
\[
25^{1/2} = \sqrt{25} = 5
\]

So the equivalent expression for \( \frac{25}{25^{1/2}} \) is \( 5 \).

If this doesn't answer your question correctly, please clarify the original expression you wanted to simplify.