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Calculate the value
Answer
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$- \left( - \dfrac{ 1 }{ 4 } \right) ^{ 3 } \times \left( - \dfrac{ 25 }{ 3 } \right) ^{ 2 } \times \{ - \left( - \dfrac{ 3 }{ 5 } \right) ^{ 4 } \}$
$- \dfrac { 9 } { 64 }$
Calculate the value
$\color{#FF6800}{ - } \left ( - \dfrac { 1 } { 4 } \right ) ^ { 3 } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \times \left ( \color{#FF6800}{ - } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 } \right )$
$ $ Since negative numbers are multiplied by an even number, remove the (-) sign $ $
$\left ( - \dfrac { 1 } { 4 } \right ) ^ { 3 } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } \right ) ^ { \color{#FF6800}{ 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times $ $
$\color{#FF6800}{ - } \left ( \dfrac { 1 } { 4 } \right ) ^ { 3 } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \left ( \color{#FF6800}{ \dfrac { 1 } { 4 } } \right ) ^ { \color{#FF6800}{ 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$- \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { 4 ^ { 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ Calculate power $ $
$- \dfrac { \color{#FF6800}{ 1 } } { 4 ^ { 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ Calculate power $ $
$- \dfrac { 1 } { \color{#FF6800}{ 64 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 25 } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ Remove negative signs because negative numbers raised to even powers are positive $ $
$- \dfrac { 1 } { 64 } \left ( \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \left ( \color{#FF6800}{ \dfrac { 25 } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$- \dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 25 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 25 } ^ { \color{#FF6800}{ 2 } } } { 3 ^ { 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ Calculate power $ $
$- \dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 625 } } { 3 ^ { 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$ $ Calculate power $ $
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { \color{#FF6800}{ 9 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 5 } } \right ) ^ { \color{#FF6800}{ 4 } }$
$ $ Remove negative signs because negative numbers raised to even powers are positive $ $
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \left ( \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \left ( \color{#FF6800}{ \dfrac { 3 } { 5 } } \right ) ^ { \color{#FF6800}{ 4 } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 4 } } } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 4 } } } { 5 ^ { 4 } }$
$ $ Calculate power $ $
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { \color{#FF6800}{ 81 } } { 5 ^ { 4 } }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { 81 } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } }$
$ $ Calculate power $ $
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { 81 } { \color{#FF6800}{ 625 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 64 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 625 } { 9 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 81 } { 625 } }$
$ $ Calculate the product of rational numbers $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 64 } }$
Solution search results
search-thumbnail-$\left(5\right)$ $\left(9$ $\left(8$ $5$ 
$5$ Simplify the following : 
$\left(i\right)$ $\left(\left(-\dfrac {2} {3}\right)^{3}+\dfrac {4} {9}\right)+\left(\dfrac {3} {5}\longdiv{}3$ $\right)$ $\left(4\longdiv{}3+\left(\dfrac {-1} {2}\right)^{3}$ $\left(ii\right)$ $\left(\dfrac {3} {7}\right)^{2}\times \dfrac {25} {7}\times \left(\dfrac {-7} {5}\right)^{2}$ 
$\left(b\right)$ $\left(\dfrac {-3} {4}\right)^{3}\times \left(\dfrac {\left(3\longdiv{}3} {\left(4\longdiv{}2}$ $-\left(\dfrac {2} {3}\right)^{3}$ (v) $y\right)$ $\left(\dfrac {2} {3}\right)^{4}\times \left(\dfrac {3} {2}\right)^{5}$ $\times \left(\dfrac {5} {3}\longdiv{}2\times \left(\dfrac {3} {5}\longdiv{}3$
7th-9th grade
Other
search-thumbnail-$s|ef\left(-1n$ $\left($ }\right)^{50}\ $\right)$ \ | | is\ equal\ to\ $S$ 
$s1S$ 
$S-1S$ 
$s2S$ 
$s50s$
7th-9th grade
Other
search-thumbnail-5. Simplify the following : 
$\left(i\right)$ $\left(\left(-\dfrac {2} {3}\right)^{3}$ $+\dfrac {4} {9}\right)\div \left(\dfrac {3} {5}\longdiv{}3$ $\left(ii\right)$ $\left(4\longdiv{}3\div \left(\dfrac {-1} {2}\right)^{3}$ $\left(iii\right)$ $\left(\dfrac {3} {7}\right)^{2}\times \dfrac {25} {7}\times \left(\dfrac {-7} {5}$ 
$\left(iv\right)$ $\left(\dfrac {-3} {4}\right)^{3}\times \left(\dfrac {\left(3\longdiv{}^{3}} {\left(4\longdiv{}^{2}}$ $-\left(\dfrac {2} {3}\right)^{3}$ $\left($ (v) $\right)$ $\left(\dfrac {2} {3}\right)^{4}\times \left(\dfrac {3} {2}\right)^{5}\times \left(\dfrac {5} {3}\longdiv{}2$ $\times \left(\dfrac {3} {5}\longdiv{}3$
7th-9th grade
Other
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