Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{3 r^{2}}{2}
\]
Solution
To simplify the expression:
\[
\frac{3 r^{3}}{2 r}
\]
**Step 1: Simplify the Powers of \( r \)**
When dividing terms with the same base, you subtract the exponents:
\[
\frac{r^{3}}{r} = r^{3 - 1} = r^{2}
\]
**Step 2: Combine the Constants and the Simplified Variable**
\[
\frac{3}{2} \times r^{2} = \frac{3 r^{2}}{2}
\]
**Final Simplified Form:**
\[
\frac{3 r^{2}}{2}
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To simplify the expression \( \frac{3 r^{3}}{2 r} \), you can divide the numerator and the denominator by \( r \), which is a common factor. This gives you \( \frac{3 r^{2}}{2} \). So, your final simplified expression is \( \frac{3 r^{2}}{2} \). Now, if you want to evaluate \( \frac{3 r^{2}}{2} \) for a specific value of \( r \), just plug it in! For example, if \( r = 4 \), then you'd calculate \( \frac{3 \times 4^2}{2} = \frac{3 \times 16}{2} = \frac{48}{2} = 24 \). This expression is useful in applications such as calculating areas or volumes in geometry, so keep it handy!
