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Calculate the value

Answer

Find the number of divisors

Answer

Do prime factorization

Answer

$38416$

Calculate the value

$\color{#FF6800}{ 196 } ^ { \color{#FF6800}{ 2 } }$

$ $ Calculate power $ $

$\color{#FF6800}{ 38416 }$

$25$

Find the number of divisors

$\color{#FF6800}{ 196 } ^ { 2 }$

$ $ Represents an integer as a product of decimal numbers $ $

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { 2 }$

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$

$ $ If the base consists of products of two or more numbers, change to the product of each power $ $

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( 7 ^ { 2 } \right ) ^ { 2 }$

$ $ Calculate the power of the power $ $

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \left ( 7 ^ { 2 } \right ) ^ { 2 }$

$2 ^ { 4 } \left ( \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$

$ $ Calculate the power of the power $ $

$2 ^ { 4 } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 4 } }$

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 4 } }$

$ $ Find the number of divisors using an exponent $ $

$\color{#FF6800}{ 25 }$

$2 ^ { 4 } \times 7 ^ { 4 }$

Organize using the law of exponent

$\color{#FF6800}{ 196 } ^ { 2 }$

$ $ Represents an integer as a product of decimal numbers $ $

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { 2 }$

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$

$ $ If the base consists of products of two or more numbers, change to the product of each power $ $

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$

$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( 7 ^ { 2 } \right ) ^ { 2 }$

$ $ Calculate the power of the power $ $

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \left ( 7 ^ { 2 } \right ) ^ { 2 }$

$2 ^ { 4 } \left ( \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$

$ $ Calculate the power of the power $ $

$2 ^ { 4 } \times \color{#FF6800}{ 7 } ^ { \color{#FF6800}{ 4 } }$

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