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Formula
Multiply two numbers
Answer
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Find the number of divisors
Answer
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Do prime factorization
Answer
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Organize using the law of exponent
Answer
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$1000 \times 1000$
$1000000$
Multiply two numbers
$\color{#FF6800}{ 1000 } \color{#FF6800}{ \times } \color{#FF6800}{ 1000 }$
$ $ Multiply $ 1000 $ and $ 1000$
$\color{#FF6800}{ 1000000 }$
$49$
Find the number of divisors
$\color{#FF6800}{ 1000 } \color{#FF6800}{ \times } \color{#FF6800}{ 1000 }$
$ $ Do prime factorization $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$2 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$ $ Add $ 3 $ and $ 3$
$2 ^ { \color{#FF6800}{ 6 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$2 ^ { 6 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } }$
$ $ Add the exponent as the base is the same $ $
$2 ^ { 6 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } }$
$2 ^ { 6 } \times 5 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } }$
$ $ Add $ 3 $ and $ 3$
$2 ^ { 6 } \times 5 ^ { \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 6 } }$
$ $ Find the number of divisors using an exponent $ $
$\color{#FF6800}{ 49 }$
$2 ^ { 6 } \times 5 ^ { 6 }$
Organize using the law of exponent
$\color{#FF6800}{ 1000 } \times 1000$
$ $ Represents an integer as a product of decimal numbers $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \times 1000$
$2 ^ { 3 } \times 5 ^ { 3 } \times \color{#FF6800}{ 1000 }$
$ $ Represents an integer as a product of decimal numbers $ $
$2 ^ { 3 } \times 5 ^ { 3 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$2 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$ $ Add $ 3 $ and $ 3$
$2 ^ { \color{#FF6800}{ 6 } } \times 5 ^ { 3 } \times 5 ^ { 3 }$
$2 ^ { 6 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } }$
$ $ Add the exponent as the base is the same $ $
$2 ^ { 6 } \times \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } }$
$2 ^ { 6 } \times 5 ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } }$
$ $ Add $ 3 $ and $ 3$
$2 ^ { 6 } \times 5 ^ { \color{#FF6800}{ 6 } }$
$1000 ^ { 2 }$
Organize using the law of exponent
$\color{#FF6800}{ 1000 } \times 1000$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\color{#FF6800}{ 1000 } ^ { \color{#FF6800}{ 1 } } \times 1000$
$1000 ^ { 1 } \times \color{#FF6800}{ 1000 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$1000 ^ { 1 } \times \color{#FF6800}{ 1000 } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ 1000 } ^ { \color{#FF6800}{ 1 } } \times \color{#FF6800}{ 1000 } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 1000 } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$1000 ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 1 $ and $ 1$
$1000 ^ { \color{#FF6800}{ 2 } }$
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