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Calculate the value
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Organize using the law of exponent
Answer
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$\dfrac { 1 } { 64 }$
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 $ $
$2 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$2 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$ $ 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 $ $
$2 ^ { 6 } \times 2 ^ { - 4 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 6 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$
$ $ 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 $ $
$2 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
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