Question

simplify 9x^6y^2/3x^3y​

Answer 1

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❏ Question:-

Simplify it $\longrightarrow\sf{ \ \ {\dfrac{9x^6y^2}{3x^3y}}}$

❏ Solution:-

$\longrightarrow\sf{ \ \ {\dfrac{9x^6y^2}{3x^3y}}}$

$\longrightarrow\sf{ \ \ {\dfrac{9x^{(3+3)}y^{(1+1)}}{3x^3y}}}$

$\longrightarrow\sf{ \ \ {\dfrac{\cancel{9}\times x^3\times \cancel{x^3}\times\cancel{ y}\times y}{\cancel{3}\times\cancel{ x^3}\times\cancel{ y}}}}$

$\longrightarrow\sf{ \ \ {3x^3y}}$ (answer)

∴ The solution is $\longrightarrow\sf{ \ \ {3x^3y}}$

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❏ Formula Used :-

$\longrightarrow X^m\times X^n=X^(m+n)$

$\longrightarrow \dfrac{X^m}{ X^n}=X^(m-n)$

$\longrightarrow \dfrac{X^m}{ X^n}=\dfrac{1}{X^(n-m)}$

$\longrightarrow X^m\times Y^m=(XY)^m$

$\longrightarrow \dfrac{X^m}{ Y^m}=(\dfrac{X}{Y})^m$

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