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Formula
Calculate the value
Do prime factorization
Organize using the law of exponent
$5 ^{ 3 } \times 5 ^{ -2 }$
$5$
Calculate the value
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$5 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Subtract $2$ from $3$
$5 ^ { \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 1 } }$
 If the exponent is 1, get rid of it as it is unnecessary 
$5$
$5$
Organize using the law of exponent
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$5 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Subtract $2$ from $3$
$5 ^ { \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 1 } }$
 If the exponent is 1, get rid of it as it is unnecessary 
$5$
$5$
Organize using the law of exponent
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$5 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Subtract $2$ from $3$
$5 ^ { \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 1 } }$
 If the exponent is 1, get rid of it as it is unnecessary 
$5$
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