Question
Your answer is incorrect. Multiply. \( 2 v^{9} w^{4} \cdot 6 w^{4} \cdot 4 v \) Simplify your answer as much as possible.
Ask by Perkins Lang. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
48v¹⁰w⁸
Solution
To multiply the expression, start by multiplying the numerical coefficients and then apply the rules of exponents to the variables.
Step 1: Multiply the coefficients:
2 · 6 · 4 = 48
Step 2: Multiply the v terms:
v⁹ from the first factor and v from 4v combine as:
v⁹ · v = v^(9+1) = v¹⁰
Step 3: Multiply the w terms:
w⁴ from the first factor and w⁴ from 6w⁴ combine as:
w⁴ · w⁴ = w^(4+4) = w⁸
Putting it all together, the simplified expression is:
48v¹⁰w⁸
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To solve \( 2 v^{9} w^{4} \cdot 6 w^{4} \cdot 4 v \), we start by multiplying the coefficients together: \( 2 \cdot 6 \cdot 4 = 48 \). Next, we combine the variables. For \( v \), we have \( v^{9} \cdot v = v^{9 + 1} = v^{10} \). For \( w \), we have \( w^{4} \cdot w^{4} = w^{4 + 4} = w^{8} \). Putting it all together, we get: \( 48 v^{10} w^{8} \). So the simplified answer is: \[ 48 v^{10} w^{8} \]
