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Formula
Calculate the value
Answer
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$\left( -1 \right) ^{ 99 } + \left( -1 \right) ^{ 100 } - \left( -2 \right) ^{ 3 }$
$8$
Calculate the value
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 99 } } + \left ( - 1 \right ) ^ { 100 } - \left ( - 2 \right ) ^ { 3 }$
$ $ Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times $ $
$\color{#FF6800}{ - } 1 ^ { 99 } + \left ( - 1 \right ) ^ { 100 } - \left ( - 2 \right ) ^ { 3 }$
$- \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 99 } } + \left ( - 1 \right ) ^ { 100 } - \left ( - 2 \right ) ^ { 3 }$
$ $ Calculate power $ $
$- \color{#FF6800}{ 1 } + \left ( - 1 \right ) ^ { 100 } - \left ( - 2 \right ) ^ { 3 }$
$- 1 + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 100 } } - \left ( - 2 \right ) ^ { 3 }$
$ $ Remove negative signs because negative numbers raised to even powers are positive $ $
$- 1 + 1 ^ { 100 } - \left ( - 2 \right ) ^ { 3 }$
$- 1 + \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 100 } } - \left ( - 2 \right ) ^ { 3 }$
$ $ Calculate power $ $
$- 1 + \color{#FF6800}{ 1 } - \left ( - 2 \right ) ^ { 3 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } - \left ( - 2 \right ) ^ { 3 }$
$ $ Remove the two numbers if the values are the same and the signs are different $ $
$- \left ( - 2 \right ) ^ { 3 }$
$- \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 3 } }$
$ $ Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times $ $
$- \left ( \color{#FF6800}{ - } 2 ^ { 3 } \right )$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 2 ^ { 3 } \right )$
$ $ Simplify Minus $ $
$2 ^ { 3 }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } }$
$ $ Calculate power $ $
$\color{#FF6800}{ 8 }$
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