Question
- Divide the expression using the quotient rule. \( \frac{y^{7}}{y^{2}} \) \( \frac{y^{7}}{y^{2}}=\square \)
Ask by Vaughan Wyatt. in the United States
Jan 24,2025
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Tutor-Verified Answer
Answer
\[
\frac{y^{7}}{y^{2}} = y^{5}
\]
Solution
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Mind Expander
When you divide variables with the same base, you subtract their exponents. Here, you can take the exponent in the numerator (7) and subtract the exponent in the denominator (2), which gives you \( y^{7-2} \). Thus, the result of \( \frac{y^{7}}{y^{2}} \) simplifies to \( y^{5} \). So, \( \frac{y^{7}}{y^{2}} = y^{5} \). This means you're effectively left with \( y^{5} \) after your division – simple, clean, and ready to roll!