Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{x}{4}\)
Solution
To simplify the expression \(\frac{9x^{3}}{36x^{2}}\), follow these steps:
1. **Simplify the coefficients (numbers):**
\[
\frac{9}{36} = \frac{1}{4}
\]
2. **Simplify the variables using the laws of exponents:**
\[
\frac{x^{3}}{x^{2}} = x^{3-2} = x^{1} = x
\]
3. **Combine the simplified coefficients and variables:**
\[
\frac{1}{4} \times x = \frac{x}{4}
\]
**Final Simplified Form:**
\[
\frac{x}{4}
\]
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Simplify this solution Bonus Knowledge
To simplify \( \frac{9 x^{3}}{36 x^{2}} \), start by dividing the coefficients (the numbers) and then deal with the variables. This gives you \( \frac{9}{36} = \frac{1}{4} \). Now, for the variables, you can subtract the exponents since you’re dividing: \( x^{3 - 2} = x^{1} \). So, putting it all together, the simplified form is \( \frac{1}{4} x \).
