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Formula

Calculate the value

Answer

Organize using the law of exponent

Answer

$2 ^{ 6 } \div 2 ^{ 4 } \div 2 ^{ 8 }$

$\dfrac { 1 } { 64 }$

Calculate the value

$2 ^ { 6 } \div \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \div 2 ^ { 8 }$

$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $

$2 ^ { 6 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } \div 2 ^ { 8 }$

$2 ^ { 6 } \times 2 ^ { - 4 } \div \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } }$

$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $

$2 ^ { 6 } \times 2 ^ { - 4 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$

$ $ Add the exponent as the base is the same $ $

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$

$2 ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$

$ $ Calculate the sum or the difference $ $

$2 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$

$ $ If the exponent is negative, change it to a fraction $ $

$\dfrac { 1 } { 2 ^ { 6 } }$

$\dfrac { 1 } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } }$

$ $ Calculate power $ $

$\dfrac { 1 } { \color{#FF6800}{ 64 } }$

$2 ^ { - 6 }$

Organize using the law of exponent

$2 ^ { 6 } \div \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \div 2 ^ { 8 }$

$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $

$2 ^ { 6 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } \div 2 ^ { 8 }$

$2 ^ { 6 } \times 2 ^ { - 4 } \div \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 8 } }$

$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $

$2 ^ { 6 } \times 2 ^ { - 4 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$

$ $ Add the exponent as the base is the same $ $

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$

$2 ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$

$ $ Calculate the sum or the difference $ $

$2 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$

Solution search results

search-thumbnail-$5.$ Total number of relations that can be defined on set
$A=\left(1,2,3,4\right)$ $1s=$
$\bar{A} $ $2^{4}$ $①$ $2^{8}$ $2^{12}$ (D $2^{16}$

10th-13th grade

Other

Check solution

search-thumbnail-$7$ $4^{4}+\dfrac {4^{5}+4^{6}+4+4^{8}} {2^{5+2^{6}+2^{7}+2^{8}}}$ $2^{4}$ $+$

10th-13th grade

Other

Check solution

search-thumbnail-$7$ $4^{4}+4^{5}+4^{6}+4+4^{8}$ $2^{4}+2^{5+2^{6}+2^{7}+2^{8}}$

10th-13th grade

Other

Check solution

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