Question
Simplify. Assume v is greater than zero.
3
49v6
3
49v6
Answers
GPT-4o mini
To simplify the expression \( \frac{3}{49v^6} \), we can break it down as follows:
1. The fraction can be rewritten by separating the constants and the variable components:
\[
\frac{3}{49} \cdot \frac{1}{v^6}
\]
2. The constant part \( \frac{3}{49} \) is already in its simplest form since 3 and 49 have no common factors.
3. The part with the variable \( \frac{1}{v^6} \) is already simplified as well.
Thus, the simplified form of the expression is:
\[
\frac{3}{49v^6}
\]
Since \( v > 0 \), the expression remains valid without any further restrictions.
So, the final answer is:
\[
\frac{3}{49v^6}
\]
1. The fraction can be rewritten by separating the constants and the variable components:
\[
\frac{3}{49} \cdot \frac{1}{v^6}
\]
2. The constant part \( \frac{3}{49} \) is already in its simplest form since 3 and 49 have no common factors.
3. The part with the variable \( \frac{1}{v^6} \) is already simplified as well.
Thus, the simplified form of the expression is:
\[
\frac{3}{49v^6}
\]
Since \( v > 0 \), the expression remains valid without any further restrictions.
So, the final answer is:
\[
\frac{3}{49v^6}
\]