Pregunta
Multiply, \[ 2 u \cdot 7 u^{4} x^{4} \cdot 3 x^{2} \] Simplify your answer as much as possible. \( \square \)
Ask by Cervantes Daniels. in the United States
Mar 12,2025
Solución de inteligencia artificial de Upstudy
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The simplified answer is \(42u^{5}x^{6}\).
Solución
Calculate or simplify the expression \( 2*u*7*u^4*x^4*3*x^2 \).
Simplify the expression by following steps:
- step0: Solution:
\(2u\times 7u^{4}x^{4}\times 3x^{2}\)
- step1: Multiply the terms:
\(42u\times u^{4}x^{4}\times x^{2}\)
- step2: Multiply the terms:
\(42u^{1+4}x^{4}\times x^{2}\)
- step3: Add the numbers:
\(42u^{5}x^{4}\times x^{2}\)
- step4: Multiply the terms:
\(42u^{5}x^{4+2}\)
- step5: Add the numbers:
\(42u^{5}x^{6}\)
The multiplication of \(2u \cdot 7u^{4}x^{4} \cdot 3x^{2}\) simplifies to \(42u^{5}x^{6}\).
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Simplifique esta solución Bonus Knowledge
To solve the expression \( 2 u \cdot 7 u^{4} x^{4} \cdot 3 x^{2} \), we first multiply the coefficients and then the variables separately. 1. **Multiply the coefficients:** - \( 2 \cdot 7 \cdot 3 = 42 \) 2. **Multiply the variable \( u \):** - \( u \cdot u^{4} = u^{1 + 4} = u^{5} \) 3. **Multiply the variable \( x \):** - \( x^{4} \cdot x^{2} = x^{4 + 2} = x^{6} \) Now, combining everything together: \[ 2 u \cdot 7 u^{4} x^{4} \cdot 3 x^{2} = 42 u^{5} x^{6} \] The simplified expression is: \[ \boxed{42 u^{5} x^{6}} \]
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