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Simplify \(\frac{18x^5y^3}{6x^2y}\) given that \(x\neq0\) and \(y\neq0\).\(x\neq0\) और \(y\neq0\) दिए होने पर \(\frac{18x^5y^3}{6x^2y}\) को सरल कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(3x^3y^2\)\(3x^3y^2\)
Simplify constants and like bases: \[\frac{18x^5y^3}{6x^2y}=\frac{18}{6}\cdot x^{5-2}\cdot y^{3-1}\] \[=3\cdot x^3\cdot y^2=3x^3y^2\]स्थिरांक (constants) और समान आधार (like bases) को सरल कीजिए: \[\frac{18x^5y^3}{6x^2y}=\frac{18}{6}\cdot x^{5-2}\cdot y^{3-1}\] \[=3\cdot x^3\cdot y^2=3x^3y^2\]
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