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$\dfrac { 13 } { 2 }$
Calculate the value
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 3 } } + \left ( - 3 \right ) ^ { 2 } \div \dfrac { 3 } { 4 } + \dfrac { 5 } { 2 }$
$ $ Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times $ $
$\color{#FF6800}{ - } 2 ^ { 3 } + \left ( - 3 \right ) ^ { 2 } \div \dfrac { 3 } { 4 } + \dfrac { 5 } { 2 }$
$- \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } + \left ( - 3 \right ) ^ { 2 } \div \dfrac { 3 } { 4 } + \dfrac { 5 } { 2 }$
$ $ Calculate power $ $
$- \color{#FF6800}{ 8 } + \left ( - 3 \right ) ^ { 2 } \div \dfrac { 3 } { 4 } + \dfrac { 5 } { 2 }$
$- 8 + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } + \dfrac { 5 } { 2 }$
$ $ Arrange the terms multiplied by fractions $ $
$- 8 + \color{#FF6800}{ \dfrac { \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } { \color{#FF6800}{ 3 } } } + \dfrac { 5 } { 2 }$
$- 8 + \color{#FF6800}{ \dfrac { \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } { \color{#FF6800}{ 3 } } } + \dfrac { 5 } { 2 }$
$ $ Calculate the fraction $ $
$- 8 + \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } + \dfrac { 5 } { 2 }$
$- 8 + \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } + \dfrac { 5 } { 2 }$
$ $ Simplify the expression $ $
$- 8 + \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } + \dfrac { 5 } { 2 }$
$- 8 + \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } + \dfrac { 5 } { 2 }$
$ $ Multiply $ 4 $ and $ 3$
$- 8 + \color{#FF6800}{ 12 } + \dfrac { 5 } { 2 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 2 } } }$
$ $ Calculate the sum or the difference $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } } { \color{#FF6800}{ 2 } } }$
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