$$ 1 \leftarrow \quad \begin{array}{l} ext { Perform the division. } \ \frac{48 y^{11}-54 y^{7}+6 y^{5}}{6 y^{5}} \ \frac{48 y^{11}-54 y^{7}+6 y^{5}}{6 y^{5}}=\square \ ext { (Simplify your answer. Use integers or fractions for ? }\end{array} $$

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$$ 1 \leftarrow \quad \begin{array}{l}	ext { Perform the division. } \ \frac{48 y^{11}-54 y^{7}+6 y^{5}}{6 y^{5}} \ \frac{48 y^{11}-54 y^{7}+6 y^{5}}{6 y^{5}}=\square \ 	ext { (Simplify your answer. Use integers or fractions for ? }\end{array} $$

UpStudy AI · Accepted Answer

1. Write the given expression as:
   $$
   \frac{48y^{11} - 54y^7 + 6y^5}{6y^5}
   $$

2. Divide each term in the numerator by $$6y^5$$:
   $$
   \frac{48y^{11}}{6y^5} - \frac{54y^7}{6y^5} + \frac{6y^5}{6y^5}
   $$

3. Simplify each term separately:
   $$
   \frac{48}{6} y^{11-5} = 8y^6,
   $$
   $$
   \frac{54}{6} y^{7-5} = 9y^2,
   $$
   $$
   \frac{6}{6} y^{5-5} = 1.
   $$

4. Combine the simplified terms:
   $$
   8y^6 - 9y^2 + 1
   $$
$$ 8y^6 - 9y^2 + 1 $$

\( 1 \leftarrow \quad \begin{array}{l}\text { Perform the division. } \\ \frac{48 y^{11}-54 y^{7}+6 y^{5}}{6 y^{5}} \\ \frac{48 y^{11}-54 y^{7}+6 y^{5}}{6 y^{5}}=\square \\ \text { (Simplify your answer. Use integers or fractions for ? }\end{array} \)

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