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