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Calculate the value
Answer
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$\left( -5 \right) ^{ 2 } \times \{ \dfrac{ 1 }{ 2 } \times \left( -3 \right) \times \dfrac{ 2 }{ 3 } \} \div \left( - \dfrac{ 5 }{ 6 } \right)$
$30$
Calculate the value
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 2 } { 3 } } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \right )$
$\color{#FF6800}{ - } \left ( - 5 \right ) ^ { 2 } \times \dfrac { 1 } { 2 } \times 3 \times \dfrac { 2 } { 3 } \div \left ( \color{#FF6800}{ - } \dfrac { 5 } { 6 } \right )$
$ $ Since negative numbers are multiplied by an even number, remove the (-) sign $ $
$\left ( - 5 \right ) ^ { 2 } \times \dfrac { 1 } { 2 } \times 3 \times \dfrac { 2 } { 3 } \div \dfrac { 5 } { 6 }$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { 5 } { 6 } }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ \dfrac { \left ( - 5 \right ) ^ { 2 } \times 3 \times 2 \times 6 } { 2 \times 3 \times 5 } }$
$\color{#FF6800}{ \dfrac { \left ( - 5 \right ) ^ { 2 } \times 3 \times 2 \times 6 } { 2 \times 3 \times 5 } }$
$ $ Calculate the fraction $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 }$
$ $ Multiply the numbers $ $
$\color{#FF6800}{ 30 }$
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