Question

Which of the following is an equivalent expression for 512125√3 when simplified using exponent properties?(1 point)
Responses

Answer 1

To simplify \( 512125\sqrt{3} \) using exponent properties, let's look at the expression step by step.

First, recognize that the square root can be represented using an exponent:

\[
\sqrt{3} = 3^{1/2}
\]

Now we can rewrite the entire expression:

\[
512125\sqrt{3} = 512125 \cdot 3^{1/2}
\]

Next, we should analyze if \( 512125 \) can be expressed as a power of a base, but it actually does not appear to be a simple exponent of a whole number. Thus, we can leave \( 512125 \) as is for the moment.

However, if you want this in an alternate expression, you can keep it in the format:

\[
512125 \cdot 3^{1/2}
\]

We could also express this as:

\[
\frac{512125}{1} \cdot 3^{1/2}
\]

Without additional options or a specific question to find a more simplified expression, it’s important to note that some expressions may combine numerical values or factor further. For a definitive equivalent expression, please provide specific options you are comparing, and I can assist you in identifying the equivalent one among your choices.