Question
Multiply. \[ 7 x^{2} u^{6} \cdot 3 x \cdot 2 u^{6} \]
Ask by Sanders Curry. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is \( 42x^{3}u^{12} \).
Solution
To multiply the expressions, multiply the numerical coefficients together and add the exponents of like bases.
First, multiply the coefficients:
7 · 3 · 2 = 42
Next, multiply the x terms:
x² · x = x^(2+1) = x³
Then, multiply the u terms:
u⁶ · u⁶ = u^(6+6) = u¹²
Putting it all together, the product is:
42x³u¹²
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
To multiply the expression \( 7 x^{2} u^{6} \cdot 3 x \cdot 2 u^{6} \), we first multiply the coefficients: \[ 7 \cdot 3 \cdot 2 = 42. \] Next, we multiply the \(x\) terms: \[ x^{2} \cdot x = x^{2 + 1} = x^{3}. \] Now, we multiply the \(u\) terms: \[ u^{6} \cdot u^{6} = u^{6 + 6} = u^{12}. \] Putting it all together, we have: \[ 42 x^{3} u^{12}. \] So, the final answer is: \[ 42 x^{3} u^{12}. \]
