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Formula
Calculate the value
Answer
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Organize using the law of exponent
Answer
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$x ^{ 4 } \times x ^{ 6 } \div x ^{ 5 }$
$x ^ { 5 }$
Arrange the rational expression
$x ^ { 4 } x ^ { 6 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 5 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$x ^ { 4 } x ^ { 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$x ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$ $ Calculate the sum or the difference $ $
$x ^ { \color{#FF6800}{ 5 } }$
$x ^ { 5 }$
Organize using the law of exponent
$x ^ { 4 } x ^ { 6 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 5 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$x ^ { 4 } x ^ { 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$x ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } }$
$ $ Calculate the sum or the difference $ $
$x ^ { \color{#FF6800}{ 5 } }$
Solution search results
search-thumbnail-$14.$ Find the middle term(s) $\left(s\right)$ in the expansion of $\left(\dfrac {3x} {7}-2y\right)^{10}$ 
$1\right)$ $-10c_{s}\left(\dfrac {6} {7}\right)^{5}$ $x^{5}y^{5}$ $2\right)$ $10c_{s}\left(\dfrac {3} {7}\right)^{5}$ $x^{5}y^{5}$ $3\right)$ $10c_{6}\left(\dfrac {6} {7}\right)^{6}$ $x^{6}y^{4}$ $4\right)$ $-10c_{s}\left(\dfrac {6} {7}\right)^{5}$ $x^{4}y^{6}$
7th-9th grade
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