Question
8 Find the quotient. Write your answer using exponents. \( \frac{28 s^{15}}{42 s^{12}} \)
Ask by Rose Bowman. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The quotient is \( \frac{2}{3} s^3 \).
Solution
1. Simplify the numerical coefficients:
\[
\frac{28}{42} = \frac{28 \div 14}{42 \div 14} = \frac{2}{3}
\]
2. Simplify the variable exponents using the rule \(\frac{s^a}{s^b} = s^{a-b}\):
\[
\frac{s^{15}}{s^{12}} = s^{15-12} = s^3
\]
3. Combine the simplified parts:
\[
\frac{28 s^{15}}{42 s^{12}} = \frac{2}{3} s^3
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To find the quotient \( \frac{28 s^{15}}{42 s^{12}} \), start by dividing the coefficients: \( \frac{28}{42} = \frac{2}{3} \). Next, for the variable part, use the property of exponents: \( \frac{s^{15}}{s^{12}} = s^{15-12} = s^{3} \). Thus, the answer is \( \frac{2}{3} s^{3} \). So, the final answer is \( \frac{2}{3} s^{3} \).
