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Formula
Do prime factorization
Answer
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$$15 \times 12$$
$3 ^ { 2 } \times 5 \times 2 ^ { 2 }$
Organize using the law of exponent
$\color{#FF6800}{ 15 } \times 12$
$ $ Represents an integer as a product of decimal numbers $ $
$\color{#FF6800}{ 3 } \times \color{#FF6800}{ 5 } \times 12$
$3 \times 5 \times \color{#FF6800}{ 12 }$
$ $ Represents an integer as a product of decimal numbers $ $
$3 \times 5 \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 3 } \times 3 \times 5 \times 2 ^ { 2 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times 3 \times 5 \times 2 ^ { 2 }$
$3 ^ { 1 } \times \color{#FF6800}{ 3 } \times 5 \times 2 ^ { 2 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$3 ^ { 1 } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times 5 \times 2 ^ { 2 }$
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } } \times 5 \times 2 ^ { 2 }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 5 \times 2 ^ { 2 }$
$3 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \times 5 \times 2 ^ { 2 }$
$ $ Add $ 1 $ and $ 1$
$3 ^ { \color{#FF6800}{ 2 } } \times 5 \times 2 ^ { 2 }$
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