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Calculate the value
Answer
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Find the number of divisors
Answer
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List all divisors
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Do prime factorization
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Organize using the law of exponent
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$2 ^{ 10 } \times 2$
$2048$
Calculate the value
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 }$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 2048 }$
$12$
Find the number of divisors
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 }$
$2 ^ { 10 } \times \color{#FF6800}{ 2 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 10 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$2 ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 10 $ and $ 1$
$2 ^ { \color{#FF6800}{ 11 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 11 } }$
$ $ Find the number of divisors using an exponent $ $
$\color{#FF6800}{ 12 }$
$1 , 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , 512 , 1024 , 2048$
Find all divisors
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 }$
$2 ^ { 10 } \times \color{#FF6800}{ 2 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 10 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$2 ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 10 $ and $ 1$
$2 ^ { \color{#FF6800}{ 11 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 11 } }$
$ $ List divisors of factors $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 7 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 11 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 7 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 11 } }$
$ $ Calculate the product of all divisors $ $
$\color{#FF6800}{ 1 } , \color{#FF6800}{ 2 } , \color{#FF6800}{ 4 } , \color{#FF6800}{ 8 } , \color{#FF6800}{ 16 } , \color{#FF6800}{ 32 } , \color{#FF6800}{ 64 } , \color{#FF6800}{ 128 } , \color{#FF6800}{ 256 } , \color{#FF6800}{ 512 } , \color{#FF6800}{ 1024 } , \color{#FF6800}{ 2048 }$
$2 ^ { 11 }$
Organize using the law of exponent
$2 ^ { 10 } \times \color{#FF6800}{ 2 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 10 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$2 ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 10 $ and $ 1$
$2 ^ { \color{#FF6800}{ 11 } }$
$2 ^ { 11 }$
Organize using the law of exponent
$2 ^ { 10 } \times \color{#FF6800}{ 2 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 10 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$2 ^ { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 10 $ and $ 1$
$2 ^ { \color{#FF6800}{ 11 } }$
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