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Formula
Do prime factorization
Answer
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$$12 \times 12 \times 12$$
$2 ^ { 6 } \times 3 ^ { 3 }$
Organize using the law of exponent
$\color{#FF6800}{ 12 } \times 12 \times 12$
$ $ Represents an integer as a product of decimal numbers $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 3 } \times 12 \times 12$
$2 ^ { 2 } \times 3 \times \color{#FF6800}{ 12 } \times 12$
$ $ Represents an integer as a product of decimal numbers $ $
$2 ^ { 2 } \times 3 \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 3 } \times 12$
$2 ^ { 2 } \times 3 \times 2 ^ { 2 } \times 3 \times \color{#FF6800}{ 12 }$
$ $ Represents an integer as a product of decimal numbers $ $
$2 ^ { 2 } \times 3 \times 2 ^ { 2 } \times 3 \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times 3 \times 3 \times 3$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times 3 \times 3 \times 3$
$2 ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times 3 \times 3 \times 3$
$ $ Find the sum $ $
$2 ^ { \color{#FF6800}{ 6 } } \times 3 \times 3 \times 3$
$2 ^ { 6 } \times \color{#FF6800}{ 3 } \times 3 \times 3$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 6 } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times 3 \times 3$
$2 ^ { 6 } \times 3 ^ { 1 } \times \color{#FF6800}{ 3 } \times 3$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 6 } \times 3 ^ { 1 } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times 3$
$2 ^ { 6 } \times 3 ^ { 1 } \times 3 ^ { 1 } \times \color{#FF6800}{ 3 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$2 ^ { 6 } \times 3 ^ { 1 } \times 3 ^ { 1 } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$2 ^ { 6 } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$2 ^ { 6 } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$2 ^ { 6 } \times 3 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Find the sum $ $
$2 ^ { 6 } \times 3 ^ { \color{#FF6800}{ 3 } }$
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