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Calculate the value
Answer
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$\left( \dfrac{ 1 }{ 4 } \right) ^{ 3 } \times \left( \dfrac{ 1 }{ 8 } \right) ^{ -3 }$
$8$
Calculate the value
$\left ( \color{#FF6800}{ \dfrac { 1 } { 4 } } \right ) ^ { \color{#FF6800}{ 3 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$\dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { 4 ^ { 3 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$ $ Calculate power $ $
$\dfrac { \color{#FF6800}{ 1 } } { 4 ^ { 3 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$\dfrac { 1 } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$ $ Calculate power $ $
$\dfrac { 1 } { \color{#FF6800}{ 64 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$\dfrac { 1 } { 64 } \left ( \color{#FF6800}{ \dfrac { 1 } { 8 } } \right ) ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } }$
$\dfrac { 1 } { 64 } \times \dfrac { 1 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } } { 8 ^ { - 3 } }$
$ $ If the exponent is negative, change it to a fraction $ $
$\dfrac { 1 } { 64 } \times \dfrac { \dfrac { 1 } { 1 ^ { 3 } } } { 8 ^ { - 3 } }$
$\dfrac { 1 } { 64 } \times \color{#FF6800}{ \dfrac { \dfrac { 1 } { 1 ^ { 3 } } } { 8 ^ { - 3 } } }$
$ $ Calculate the complex fraction $ $
$\dfrac { 1 } { 64 } \times \color{#FF6800}{ \dfrac { 1 } { 1 ^ { 3 } \times 8 ^ { - 3 } } }$
$\color{#FF6800}{ \dfrac { 1 } { 64 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 1 ^ { 3 } \times 8 ^ { - 3 } } }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ \dfrac { 1 } { 64 \left ( 1 ^ { 3 } \times 8 ^ { - 3 } \right ) } }$
$\dfrac { 1 } { \color{#FF6800}{ 64 } \left ( \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \right ) }$
$ $ Get rid of unnecessary parentheses $ $
$\dfrac { 1 } { \color{#FF6800}{ 64 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } }$
$\dfrac { 1 } { 64 \times \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \times 8 ^ { - 3 } }$
$ $ Calculate power $ $
$\dfrac { 1 } { 64 \times \color{#FF6800}{ 1 } \times 8 ^ { - 3 } }$
$\dfrac { 1 } { 64 \color{#FF6800}{ \times } \color{#FF6800}{ 1 } \times 8 ^ { - 3 } }$
$ $ Multiplying any number by 1 does not change the value $ $
$\dfrac { 1 } { 64 \times 8 ^ { - 3 } }$
$\dfrac { 1 } { 64 \times 8 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } }$
$ $ If the exponent is negative, change it to a fraction $ $
$\dfrac { 1 } { 64 \times \dfrac { 1 } { 8 ^ { 3 } } }$
$\dfrac { 1 } { 64 \times \dfrac { 1 } { \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ 3 } } } }$
$ $ Calculate power $ $
$\dfrac { 1 } { 64 \times \dfrac { 1 } { \color{#FF6800}{ 512 } } }$
$\dfrac { 1 } { \color{#FF6800}{ 64 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 512 } } }$
$ $ Calculate the product of rational numbers $ $
$\dfrac { 1 } { \color{#FF6800}{ \dfrac { 1 } { 8 } } }$
$\color{#FF6800}{ \dfrac { 1 } { \dfrac { 1 } { 8 } } }$
$ $ Calculate the complex fraction $ $
$\color{#FF6800}{ 8 }$
Solution search results
search-thumbnail-If the sum of two consecutive 
numbers is $45$ and one number is $X$ 
.This statement in the form of 
equation $1s:$ 
$\left(1$ Point) $\right)$ 
$○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ 
$○sx+1ef\left(x+2$ $r1gnt\right)=145s$ 
$sx+1x=45s$
7th-9th grade
Algebra
search-thumbnail-$s|ef\left(-1n$ $\left($ }\right)^{50}\ $\right)$ \ | | is\ equal\ to\ $S$ 
$s1S$ 
$S-1S$ 
$s2S$ 
$s50s$
7th-9th grade
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