Pregunta
Simplify the expression. Assume no denominator is equal to 0 \[ \frac{-4 x^{5} y^{4}}{2 x^{3} y^{2}} \]
Ask by Osborne Potter. in the United States
Feb 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The simplified expression is \(-2x^{2}y^{2}\).
Solución
Calculate or simplify the expression \( \frac{-4x^{5}y^{4}}{2x^{3}y^{2}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{-4x^{5}y^{4}}{2x^{3}y^{2}}\)
- step1: Reduce the fraction:
\(\frac{-4x^{5-3}y^{4}}{2y^{2}}\)
- step2: Reduce the fraction:
\(\frac{-4x^{2}y^{4}}{2y^{2}}\)
- step3: Reduce the fraction:
\(\frac{-4x^{2}y^{4-2}}{2}\)
- step4: Reduce the fraction:
\(\frac{-4x^{2}y^{2}}{2}\)
- step5: Divide the terms:
\(-2x^{2}y^{2}\)
The simplified expression is \(-2x^{2}y^{2}\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To simplify the expression \(\frac{-4 x^{5} y^{4}}{2 x^{3} y^{2}}\), we can break it down into separate components. First, simplify the coefficients: \(-4\) divided by \(2\) is \(-2\). Next, for the \(x\) terms: \[ \frac{x^{5}}{x^{3}} = x^{5-3} = x^{2}. \] Lastly, for the \(y\) terms: \[ \frac{y^{4}}{y^{2}} = y^{4-2} = y^{2}. \] Putting it all together, we have: \[ \frac{-4 x^{5} y^{4}}{2 x^{3} y^{2}} = -2 x^{2} y^{2}. \] Therefore, the simplified expression is \(-2 x^{2} y^{2}\).
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