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Formula
Calculate the value
Answer
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Find the number of divisors
Answer
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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
Answer
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$4 ^{ 2 } \times 4 ^{ 2 } \times 4 ^{ 2 }$
$4096$
Calculate the value
$\color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } }$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 4096 }$
$13$
Find the number of divisors
$\color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$2 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$ $ Find the sum $ $
$2 ^ { \color{#FF6800}{ 12 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 12 } }$
$ $ Find the number of divisors using an exponent $ $
$\color{#FF6800}{ 13 }$
$1 , 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , 512 , 1024 , 2048 , 4096$
Find all divisors
$\color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$2 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$ $ Find the sum $ $
$2 ^ { \color{#FF6800}{ 12 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 12 } }$
$ $ List divisors of factors $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 7 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 11 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 12 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 0 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 7 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 9 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 11 } } , \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 12 } }$
$ $ Calculate the product of all divisors $ $
$\color{#FF6800}{ 1 } , \color{#FF6800}{ 2 } , \color{#FF6800}{ 4 } , \color{#FF6800}{ 8 } , \color{#FF6800}{ 16 } , \color{#FF6800}{ 32 } , \color{#FF6800}{ 64 } , \color{#FF6800}{ 128 } , \color{#FF6800}{ 256 } , \color{#FF6800}{ 512 } , \color{#FF6800}{ 1024 } , \color{#FF6800}{ 2048 } , \color{#FF6800}{ 4096 }$
$2 ^ { 12 }$
Organize using the law of exponent
$\color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \times 4 ^ { 2 } \times 4 ^ { 2 }$
$ $ Do a factorization in prime factors until you can no longer factorize $ $
$\left ( 2 ^ { 2 } \right ) ^ { 2 } \times 4 ^ { 2 } \times 4 ^ { 2 }$
$\left ( 2 ^ { 2 } \right ) ^ { 2 } \times \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \times 4 ^ { 2 }$
$ $ Do a factorization in prime factors until you can no longer factorize $ $
$\left ( 2 ^ { 2 } \right ) ^ { 2 } \left ( 2 ^ { 2 } \right ) ^ { 2 } \times 4 ^ { 2 }$
$\left ( 2 ^ { 2 } \right ) ^ { 2 } \left ( 2 ^ { 2 } \right ) ^ { 2 } \times \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } }$
$ $ Do a factorization in prime factors until you can no longer factorize $ $
$\left ( 2 ^ { 2 } \right ) ^ { 2 } \left ( 2 ^ { 2 } \right ) ^ { 2 } \left ( 2 ^ { 2 } \right ) ^ { 2 }$
$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( 2 ^ { 2 } \right ) ^ { 2 } \left ( 2 ^ { 2 } \right ) ^ { 2 }$
$ $ Calculate the power of the power $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \left ( 2 ^ { 2 } \right ) ^ { 2 } \left ( 2 ^ { 2 } \right ) ^ { 2 }$
$2 ^ { 4 } \left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( 2 ^ { 2 } \right ) ^ { 2 }$
$ $ Calculate the power of the power $ $
$2 ^ { 4 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \left ( 2 ^ { 2 } \right ) ^ { 2 }$
$2 ^ { 4 } \times 2 ^ { 4 } \left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate the power of the power $ $
$2 ^ { 4 } \times 2 ^ { 4 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$2 ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } }$
$ $ Find the sum $ $
$2 ^ { \color{#FF6800}{ 12 } }$
$4 ^ { 6 }$
Organize using the law of exponent
$\color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
$4 ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
$ $ Find the sum $ $
$4 ^ { \color{#FF6800}{ 6 } }$
Solution search results
search-thumbnail-$13$ form. $9$ Find the rank of $m3tr1x$ $x= \begin{cases} 1^{2}2^{2}3^{2}4^{2} \\ 2^{2}3^{2}4^{2}5^{2} \\ 3^{2}4^{2}5^{2}6^{2^{\right)}} \\ 4^{2}5^{2}6^{2}7^{2} \end{cases} $
Algebra
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