Question
2. \( \frac{12 a^{2} b^{3}}{3 a b} \)
Ask by Reed Little. in South Africa
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form is \( 4ab^{2} \).
Solution
Calculate or simplify the expression \( \frac{12a^2b^3}{3ab} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{12a^{2}b^{3}}{3ab}\)
- step1: Reduce the fraction:
\(\frac{12a^{2-1}b^{3}}{3b}\)
- step2: Reduce the fraction:
\(\frac{12ab^{3}}{3b}\)
- step3: Reduce the fraction:
\(\frac{12ab^{3-1}}{3}\)
- step4: Reduce the fraction:
\(\frac{12ab^{2}}{3}\)
- step5: Divide the terms:
\(4ab^{2}\)
The simplified form of \( \frac{12 a^{2} b^{3}}{3 a b} \) is \( 4ab^{2} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To simplify the expression \( \frac{12 a^{2} b^{3}}{3 a b} \), we start by dividing both the coefficients and the variables. The coefficient simplifies as follows: \( \frac{12}{3} = 4 \). Now for the variables, we have \( \frac{a^2}{a} = a^{2-1} = a \) and \( \frac{b^{3}}{b} = b^{3-1} = b^{2} \). Combining these results gives us \( 4ab^{2} \). So, the simplified expression is \( 4ab^{2} \). Now let's keep it fun! Simplifying algebraic expressions is like solving a puzzle where you get to combine like terms, slice numbers, and create something new. Every term you eliminate is like trimming the fat to find the lean, mean mathematical machine that is the simplified form!
