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Calculate the value
Answer
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$\left( - \dfrac{ 1 }{ 4 } \right) \div \left( - \dfrac{ 1 }{ 2 } \right) ^{ 3 } - \left( -6 \right) \times \{ \dfrac{ 4 }{ 3 } + \left( -2 \right) \}$
$- 2$
Calculate the value
$- \dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \right ) ^ { \color{#FF6800}{ 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$ $ Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times $ $
$- \dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ - } \left ( \dfrac { 1 } { 2 } \right ) ^ { 3 } \right ) - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\color{#FF6800}{ - } \dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ - } \left ( \dfrac { 1 } { 2 } \right ) ^ { 3 } \right ) - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$ $ Since negative numbers are multiplied by an even number, remove the (-) sign $ $
$\dfrac { 1 } { 4 } \div \left ( \dfrac { 1 } { 2 } \right ) ^ { 3 } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \right ) ^ { \color{#FF6800}{ 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { 1 } { 4 } \div \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\dfrac { 1 } { 4 } \div \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { 2 ^ { 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$ $ Calculate power $ $
$\dfrac { 1 } { 4 } \div \dfrac { \color{#FF6800}{ 1 } } { 2 ^ { 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\dfrac { 1 } { 4 } \div \dfrac { 1 } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$ $ Calculate power $ $
$\dfrac { 1 } { 4 } \div \dfrac { 1 } { \color{#FF6800}{ 8 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\color{#FF6800}{ \dfrac { 1 } { 4 } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { 1 } { 8 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$ $ Calculate division of fractions $ $
$\color{#FF6800}{ 2 } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$2 \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$ $ Simplify Minus $ $
$2 + 6 \left ( \dfrac { 4 } { 3 } - 2 \right )$
$2 + 6 \left ( \color{#FF6800}{ \dfrac { 4 } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$ $ Subtract $ 2 $ from $ \dfrac { 4 } { 3 }$
$2 + 6 \times \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } } \right )$
$2 + \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } } \right )$
$ $ Calculate the product of rational numbers $ $
$2 \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$ $ Subtract $ 4 $ from $ 2$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 }$
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
Other
search-thumbnail-Which of the following rational numbers are 
equivalent? 
$0Ptionsy$ 
A \frac{5}{6}, \frac{30}{36} 
B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ 
C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ 
D \frac{1}{2},\frac{3}{8}
7th-9th grade
Other
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