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$- \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } - \left ( 3 \div \dfrac { 3 } { 5 } - \left ( - 1 \right ) ^ { 2 } \right ) \times \dfrac { 1 } { 4 } + 4$

$ $ Calculate power $ $

$- \color{#FF6800}{ 8 } - \left ( 3 \div \dfrac { 3 } { 5 } - \left ( - 1 \right ) ^ { 2 } \right ) \times \dfrac { 1 } { 4 } + 4$

$- 8 - \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { 3 } { 5 } } - \left ( - 1 \right ) ^ { 2 } \right ) \times \dfrac { 1 } { 4 } + 4$

$ $ Calculate division of fractions $ $

$- 8 - \left ( \color{#FF6800}{ 5 } - \left ( - 1 \right ) ^ { 2 } \right ) \times \dfrac { 1 } { 4 } + 4$

$- 8 - \left ( 5 - \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } } \right ) \times \dfrac { 1 } { 4 } + 4$

$ $ Remove negative signs because negative numbers raised to even powers are positive $ $

$- 8 - \left ( 5 - 1 ^ { 2 } \right ) \times \dfrac { 1 } { 4 } + 4$

$- 8 - \left ( 5 - \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } \right ) \times \dfrac { 1 } { 4 } + 4$

$ $ Calculate power $ $

$- 8 - \left ( 5 - \color{#FF6800}{ 1 } \right ) \times \dfrac { 1 } { 4 } + 4$

$- 8 - \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \times \dfrac { 1 } { 4 } + 4$

$ $ Subtract $ 1 $ from $ 5$

$- 8 - \color{#FF6800}{ 4 } \times \dfrac { 1 } { 4 } + 4$

$- 8 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 4 } } + 4$

$ $ Calculate the product of rational numbers $ $

$- 8 \color{#FF6800}{ - } \color{#FF6800}{ 1 } + 4$

$\color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 4 }$

$ $ Calculate the sum or the difference $ $

$\color{#FF6800}{ - } \color{#FF6800}{ 5 }$