Question
Divide the expression using the quotient rule. \( \frac{y^{9}}{y^{5}} \)
Ask by Mccoy Matthews. in the United States
Feb 27,2025
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Tutor-Verified Answer
Answer
The result is \( y^4 \).
Solution
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The Deep Dive
To divide the expression \( \frac{y^{9}}{y^{5}} \) using the quotient rule, we subtract the exponents. So, \( y^{9-5} = y^{4} \). Therefore, the solution simplifies to \( y^4 \). Easy peasy! Just remember, with indices, when you divide like bases, you subtract the powers. It's a nifty little trick that makes algebra a whole lot smoother!