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Answer
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$4- \{ \left( -2 \right) \div 4-16 \times \left( - \dfrac{ 3 }{ 4 } \right) ^{ 2 } \}$
$\dfrac { 27 } { 2 }$
Calculate the value
$4 - \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ \div } \color{#FF6800}{ 4 } - 16 \left ( - \dfrac { 3 } { 4 } \right ) ^ { 2 } \right )$
$ $ Divide $ 2 $ by $ 4$
$4 - \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } - 16 \left ( - \dfrac { 3 } { 4 } \right ) ^ { 2 } \right )$
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 4 } } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Remove negative signs because negative numbers raised to even powers are positive $ $
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \right )$
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \left ( \color{#FF6800}{ \dfrac { 3 } { 4 } } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \times \dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } } \right )$
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \times \dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } { 4 ^ { 2 } } \right )$
$ $ Calculate power $ $
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \times \dfrac { \color{#FF6800}{ 9 } } { 4 ^ { 2 } } \right )$
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \times \dfrac { 9 } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } } } \right )$
$ $ Calculate power $ $
$4 - \left ( - \dfrac { 1 } { 2 } - 16 \times \dfrac { 9 } { \color{#FF6800}{ 16 } } \right )$
$4 - \left ( - \dfrac { 1 } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 9 } { 16 } } \right )$
$ $ Calculate the product of rational numbers $ $
$4 - \left ( - \dfrac { 1 } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right )$
$4 - \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right )$
$ $ Get the subtract $ $
$4 - \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 19 } { 2 } } \right )$
$4 \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \dfrac { 19 } { 2 } \right )$
$ $ Simplify Minus $ $
$4 + \dfrac { 19 } { 2 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 19 } { 2 } }$
$ $ Add two numbers $ 4 $ and $ \dfrac { 19 } { 2 }$
$\color{#FF6800}{ \dfrac { 27 } { 2 } }$
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