Pregunta
2. \( 2 a \times 3 a b \times 4 a b^{2} \)
Ask by Powers Weston. in South Africa
Jan 29,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The simplified form of \( 2a \times 3ab \times 4ab^{2} \) is \( 24a^{3}b^{3} \).
Solución
To simplify the expression \( 2a \times 3ab \times 4ab^{2} \), follow these steps:
1. **Multiply the coefficients (numerical parts):**
\[
2 \times 3 \times 4 = 24
\]
2. **Multiply the like variables by adding their exponents:**
- For \( a \):
\[
a \times a \times a = a^{1+1+1} = a^{3}
\]
- For \( b \):
\[
b \times b^{2} = b^{1+2} = b^{3}
\]
3. **Combine the results:**
\[
24a^{3}b^{3}
\]
**Final Simplified Form:**
\[
24a^{3}b^{3}
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
Let's break it down and simplify this expression. First, multiply the coefficients: \( 2 \times 3 \times 4 = 24 \). Then, combine the \( a \) terms: \( a \times a \times a = a^{3} \). Finally, for the \( b \) terms, we have no \( b \) in the first, \( b \) in the second, and \( b^2 \) in the third, giving us \( b^{3} \). So, the expression simplifies to \( 24 a^{3} b^{3} \). Now you've got an expression that not only looks neat but also reveals the power of combining like terms! This can come in super handy when you're working with polynomials or algebraic expressions in math—knowing how to manipulate these can save you tons of time on your homework or during exams.
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