Pregunta
each product. Simplify as much as possib \( 7 x y\left(3 x^{2} y^{3}\right) \)
Ask by Weston Olson. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\(21x^3y^4\)
Solución
Calculate or simplify the expression \( 7xy(3x^2y^3) \).
Simplify the expression by following steps:
- step0: Solution:
\(7xy\times 3x^{2}y^{3}\)
- step1: Multiply the terms:
\(21xyx^{2}y^{3}\)
- step2: Multiply the terms:
\(21x^{1+2}y\times y^{3}\)
- step3: Add the numbers:
\(21x^{3}y\times y^{3}\)
- step4: Multiply the terms:
\(21x^{3}y^{1+3}\)
- step5: Add the numbers:
\(21x^{3}y^{4}\)
The simplified form of \(7xy(3x^2y^3)\) is \(21x^3y^4\).
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Simplifique esta solución Bonus Knowledge
To simplify \( 7 x y\left(3 x^{2} y^{3}\right) \), you simply multiply the coefficients and add the exponents for like bases. First, multiply the coefficients: \( 7 \cdot 3 = 21 \). Next, combine the terms \( x \) and \( x^{2} \) which gives \( x^{1 + 2} = x^{3} \), and for \( y \) and \( y^{3} \), it becomes \( y^{1 + 3} = y^{4} \). Putting it all together, the expression simplifies to \( 21 x^{3} y^{4} \).
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