Question
Find the quotient. Write your answer using exponents. \( \frac{7 y^{8}}{y^{5}} \)
Ask by Harmon Hardy. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The quotient is \( 7y^{3} \).
Solution
1. Rewrite the quotient:
\[
\frac{7 y^{8}}{y^{5}}
\]
2. Separate the constant and the variable parts:
\[
7 \cdot \frac{y^{8}}{y^{5}}
\]
3. Use the exponent rule for division:
\[
\frac{y^{8}}{y^{5}} = y^{8-5} = y^{3}
\]
4. Multiply the constant with the simplified variable:
\[
7 \cdot y^{3} = 7y^{3}
\]
Thus, the quotient is \( 7y^{3} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To find the quotient \( \frac{7 y^{8}}{y^{5}} \), you divide the coefficients and subtract the exponents of the like bases. The coefficient remains as 7, and for the \(y\), you subtract the exponent: \(8 - 5 = 3\). So, the answer can be written as \( 7y^{3} \). If you're feeling particularly math-savvy, you could also express it using exponents as \( 7y^{8-5} = 7y^{3} \). It’s a fantastic way to show off your exponent knowledge while keeping things neat!
