Huang Lang
06/28/2024 · Junior High School
13) \( \frac{12 x^{3}}{9 y^{8}} \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify the expression \( \frac{12 x^{3}}{9 y^{8}} \), we can start by simplifying the coefficients and then write the expression in a more simplified form.
1. **Simplify the coefficients**: The coefficients are 12 and 9. The greatest common divisor (GCD) of 12 and 9 is 3. We can divide both the numerator and the denominator by 3:
\[
\frac{12}{9} = \frac{12 \div 3}{9 \div 3} = \frac{4}{3}
\]
2. **Write the simplified expression**: Now we can rewrite the expression with the simplified coefficients:
\[
\frac{12 x^{3}}{9 y^{8}} = \frac{4 x^{3}}{3 y^{8}}
\]
Thus, the simplified form of the expression \( \frac{12 x^{3}}{9 y^{8}} \) is:
\[
\frac{4 x^{3}}{3 y^{8}}
\]
Quick Answer
The simplified expression is \( \frac{4 x^{3}}{3 y^{8}} \).
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