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Calculate the value
Answer
Find the number of divisors
Answer
List all divisors
Answer
Do prime factorization
Answer
Organize using the law of exponent
Answer
$3125$
Calculate the value
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 3125 }$
$6$
Find the number of divisors
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$5 ^ { 4 } \times \color{#FF6800}{ 5 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$5 ^ { 4 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 4 $ and $ 1$
$5 ^ { \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 5 } }$
$ $ Find the number of divisors using an exponent $ $
$\color{#FF6800}{ 6 }$
$1 , 5 , 25 , 125 , 625 , 3125$
Find all divisors
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$5 ^ { 4 } \times \color{#FF6800}{ 5 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$5 ^ { 4 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 4 $ and $ 1$
$5 ^ { \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 5 } }$
$ $ List divisors of factors $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 5 } }$
$ $ Calculate the product of all divisors $ $
$\color{#FF6800}{ 1 } , \color{#FF6800}{ 5 } , \color{#FF6800}{ 25 } , \color{#FF6800}{ 125 } , \color{#FF6800}{ 625 } , \color{#FF6800}{ 3125 }$
$5 ^ { 5 }$
Organize using the law of exponent
$5 ^ { 4 } \times \color{#FF6800}{ 5 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$5 ^ { 4 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 4 $ and $ 1$
$5 ^ { \color{#FF6800}{ 5 } }$
$5 ^ { 5 }$
Organize using the law of exponent
$5 ^ { 4 } \times \color{#FF6800}{ 5 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$5 ^ { 4 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 4 $ and $ 1$
$5 ^ { \color{#FF6800}{ 5 } }$
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