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Expand the expression
Answer
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Organize using the law of exponent
Answer
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$- 5 x ^ { 5 } y ^ { 4 }$
Organize polynomials
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 4 } }$
$ $ Arrange the variable part of the mononomial expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 4 } }$
$- x ^ { 5 } \times 5 y ^ { 4 }$
Organize using the law of exponent
$- x ^ { 4 } \color{#FF6800}{ x } \times 5 y ^ { 4 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$- x ^ { 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \times 5 y ^ { 4 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \times 5 y ^ { 4 }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 5 y ^ { 4 }$
$- x ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 5 y ^ { 4 }$
$ $ Add $ 4 $ and $ 1$
$- x ^ { \color{#FF6800}{ 5 } } \times 5 y ^ { 4 }$
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