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$-x ^{ 2 } y ^{ 3 } \div \dfrac{ 1 }{ 3 } x ^{ 5 } y ^{ 3 } \times \dfrac{ 3 }{ 2 } x ^{ 3 } y ^{ 2 }$
$- \dfrac { 9 y ^ { 2 } } { 2 }$
Arrange the rational expression
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } y ^ { 3 } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 } y ^ { 2 }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } y ^ { 3 } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 } y ^ { 2 }$
$- x ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } y ^ { 3 } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 } y ^ { 2 }$
$ $ Add $ 2 $ and $ 3$
$- x ^ { \color{#FF6800}{ 5 } } y ^ { 3 } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 } y ^ { 2 }$
$- x ^ { 5 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 }$
$ $ Add the exponent as the base is the same $ $
$- x ^ { 5 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 }$
$- x ^ { 5 } y ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 }$
$ $ Add $ 3 $ and $ 2$
$- x ^ { 5 } y ^ { \color{#FF6800}{ 5 } } \div \left ( \dfrac { 1 } { 3 } x ^ { 5 } y ^ { 3 } \right ) \times \dfrac { 3 } { 2 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 3 } { 2 } }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 y ^ { 2 } } { 2 } }$
Solution search results
search-thumbnail-Multiply $-\dfrac {3} {2}x^{3}y^{2}$ and $\dfrac {-1} {3}x^{2}+2y^{2}$ 
$\left(A\right)$ $\dfrac {1} {2}x^{5}y^{2}-3x^{3}y^{4}$ 
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(B) $B\right)$ $\dfrac {1} {2}x^{5}y^{2}+3x^{3}y^{4}$ 
(C) $C\right)$ $x^{5}y^{2}-3x^{3}y^{4}$ 
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$\left(D\right)$ $\dfrac {1} {2}x^{5}y^{2}-x^{3}y^{4}$
7th-9th grade
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