Simplify $$ \frac{25 x^{9} y^{4}}{15 x^{6} y^{8}} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ \frac{25 x^{9} y^{4}}{15 x^{6} y^{8}} $$, follow these steps:

1. **Simplify the Coefficients:**
   $$
   \frac{25}{15} = \frac{5}{3}
   $$

2. **Simplify the $$ x $$-terms using the rule $$ \frac{x^a}{x^b} = x^{a-b} $$:**
   $$
   \frac{x^9}{x^6} = x^{9-6} = x^3
   $$

3. **Simplify the $$ y $$-terms using the same rule:**
   $$
   \frac{y^4}{y^8} = y^{4-8} = y^{-4} = \frac{1}{y^4}
   $$

4. **Combine all the simplified parts:**
   $$
   \frac{5}{3} \times x^3 \times \frac{1}{y^4} = \frac{5x^3}{3y^4}
   $$

**Final Simplified Expression:**
$$
\frac{5x^3}{3y^4}
$$
$$ \frac{5x^3}{3y^4} $$

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